Search a number
-
+
90373440 = 2635234093
BaseRepresentation
bin1010110001011…
…11110101000000
320022001110001110
411120233311000
5141113422230
612545003320
72145106263
oct530576500
9208043043
1090373440
11470169a3
1226323540
1315952c11
14c006cda
157e024b0
hex562fd40

90373440 has 112 divisors (see below), whose sum is σ = 299484288. Its totient is φ = 23046144.

The previous prime is 90373403. The next prime is 90373441. The reversal of 90373440 is 4437309.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 90373398 and 90373407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90373441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20034 + ... + 24126.

Almost surely, 290373440 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 90373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149742144).

90373440 is an abundant number, since it is smaller than the sum of its proper divisors (209110848).

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

90373440 is a wasteful number, since it uses less digits than its factorization.

90373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4126 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 90373440 is about 9506.4946220991. The cubic root of 90373440 is about 448.7594474052.

The spelling of 90373440 in words is "ninety million, three hundred seventy-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 138 160 184 192 230 240 276 320 345 368 460 480 552 690 736 920 960 1104 1380 1472 1840 2208 2760 3680 4093 4416 5520 7360 8186 11040 12279 16372 20465 22080 24558 32744 40930 49116 61395 65488 81860 94139 98232 122790 130976 163720 188278 196464 245580 261952 282417 327440 376556 392928 470695 491160 564834 654880 753112 785856 941390 982320 1129668 1309760 1412085 1506224 1882780 1964640 2259336 2824170 3012448 3765560 3929280 4518672 5648340 6024896 7531120 9037344 11296680 15062240 18074688 22593360 30124480 45186720 90373440