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980755152 = 2431337107397
BaseRepresentation
bin111010011101010…
…010001011010000
32112100110112010220
4322131102023100
54002033131102
6241152553040
733206165316
oct7235221320
92470415126
10980755152
11463679953
12234552780
1312825c6c0
149437c0b6
155b17e1bc
hex3a7522d0

980755152 has 160 divisors (see below), whose sum is σ = 2835568512. Its totient is φ = 290138112.

The previous prime is 980755103. The next prime is 980755159. The reversal of 980755152 is 251557089.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980755159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2470218 + ... + 2470614.

Almost surely, 2980755152 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 980755152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417784256).

980755152 is an abundant number, since it is smaller than the sum of its proper divisors (1854813360).

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

980755152 is a wasteful number, since it uses less digits than its factorization.

980755152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 42.

The square root of 980755152 is about 31317.0105853033. The cubic root of 980755152 is about 993.5434533906.

The spelling of 980755152 in words is "nine hundred eighty million, seven hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 107 111 148 156 208 214 222 296 312 321 397 428 444 481 592 624 642 794 856 888 962 1191 1284 1391 1443 1588 1712 1776 1924 2382 2568 2782 2886 3176 3848 3959 4173 4764 5136 5161 5564 5772 6352 7696 7918 8346 9528 10322 11128 11544 11877 14689 15483 15836 16692 19056 20644 22256 23088 23754 29378 30966 31672 33384 41288 42479 44067 47508 51467 58756 61932 63344 66768 82576 84958 88134 95016 102934 117512 123864 127437 154401 169916 176268 190032 190957 205868 235024 247728 254874 308802 339832 352536 381914 411736 509748 552227 572871 617604 679664 705072 763828 823472 1019496 1104454 1145742 1235208 1527656 1571723 1656681 2038992 2208908 2291484 2470416 3055312 3143446 3313362 4417816 4582968 4715169 6286892 6626724 8835632 9165936 9430338 12573784 13253448 18860676 20432399 25147568 26506896 37721352 40864798 61297197 75442704 81729596 122594394 163459192 245188788 326918384 490377576 980755152