Search a number
-
+
9955402240 = 29573471601
BaseRepresentation
bin10010100010110001…
…10110001000000000
3221200210211211111111
421101120312020000
5130342040332430
64323510453104
7501463344220
oct112130661000
927623754444
109955402240
114249624063
121b1a064194
13c286a3c74
146a6274080
153d3eedc2a
hex251636200

9955402240 has 160 divisors (see below), whose sum is σ = 27375283584. Its totient is φ = 3401318400.

The previous prime is 9955402213. The next prime is 9955402277. The reversal of 9955402240 is 422045599.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×99554022402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9955402193 and 9955402202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6217440 + ... + 6219040.

Almost surely, 29955402240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9955402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687641792).

9955402240 is an abundant number, since it is smaller than the sum of its proper divisors (17419881344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9955402240 is a wasteful number, since it uses less digits than its factorization.

9955402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 9955402240 is about 99776.7620240304. The cubic root of 9955402240 is about 2151.2271516200.

The spelling of 9955402240 in words is "nine billion, nine hundred fifty-five million, four hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 347 448 512 560 640 694 896 1120 1280 1388 1601 1735 1792 2240 2429 2560 2776 3202 3470 3584 4480 4858 5552 6404 6940 8005 8960 9716 11104 11207 12145 12808 13880 16010 17920 19432 22208 22414 24290 25616 27760 32020 38864 44416 44828 48580 51232 55520 56035 64040 77728 88832 89656 97160 102464 111040 112070 128080 155456 177664 179312 194320 204928 222080 224140 256160 310912 358624 388640 409856 444160 448280 512320 555547 621824 717248 777280 819712 888320 896560 1024640 1111094 1243648 1434496 1554560 1793120 2049280 2222188 2777735 2868992 3109120 3586240 3888829 4098560 4444376 5555470 5737984 6218240 7172480 7777658 8888752 11110940 14344960 15555316 17777504 19444145 22221880 28689920 31110632 35555008 38888290 44443760 62221264 71110016 77776580 88887520 124442528 142220032 155553160 177775040 248885056 284440064 311106320 355550080 497770112 622212640 711100160 995540224 1244425280 1422200320 1991080448 2488850560 4977701120 9955402240