Search a number
-
+
2156484480 = 27357731453
BaseRepresentation
bin1000000010001001…
…0101011110000000
312120021210202120120
42000202111132000
513404030000410
6553552540240
7104303546523
oct20042253600
95507722516
102156484480
11a07308787
12502251680
13284a06927
14166590bba
15c94c3570
hex80895780

2156484480 has 128 divisors (see below), whose sum is σ = 6887423520. Its totient is φ = 573923328.

The previous prime is 2156484469. The next prime is 2156484487. The reversal of 2156484480 is 844846512.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2156484487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1483434 + ... + 1484886.

Almost surely, 22156484480 is an apocalyptic number.

2156484480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2156484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443711760).

2156484480 is an abundant number, since it is smaller than the sum of its proper divisors (4730939040).

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

2156484480 is a wasteful number, since it uses less digits than its factorization.

2156484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 2156484480 is about 46437.9637796491. The cubic root of 2156484480 is about 1291.9591407808.

The spelling of 2156484480 in words is "two billion, one hundred fifty-six million, four hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 773 960 1453 1546 1920 2319 2906 3092 3865 4359 4638 5812 6184 7265 7730 8718 9276 11595 11624 12368 14530 15460 17436 18552 21795 23190 23248 24736 29060 30920 34872 37104 43590 46380 46496 49472 58120 61840 69744 74208 87180 92760 92992 98944 116240 123680 139488 148416 174360 185520 185984 232480 247360 278976 296832 348720 371040 464960 494720 557952 697440 742080 929920 1123169 1394880 1484160 2246338 2789760 3369507 4492676 5615845 6739014 8985352 11231690 13478028 16847535 17970704 22463380 26956056 33695070 35941408 44926760 53912112 67390140 71882816 89853520 107824224 134780280 143765632 179707040 215648448 269560560 359414080 431296896 539121120 718828160 1078242240 2156484480