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151988980 = 2251113192797
BaseRepresentation
bin10010000111100…
…10101011110100
3101120222211200111
421003302223310
5302402121410
623025352404
73523612363
oct1103625364
9346884614
10151988980
1178880630
1242a98704
1325647310
14162857da
15d523b8a
hex90f2af4

151988980 has 96 divisors (see below), whose sum is σ = 394853760. Its totient is φ = 48314880.

The previous prime is 151988909. The next prime is 151988983. The reversal of 151988980 is 89889151.

151988980 = T261 + T262 + ... + T975.

151988980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151988983) 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, 52942 + ... + 55738.

It is an arithmetic number, because the mean of its divisors is an integer number (4113060).

Almost surely, 2151988980 is an apocalyptic number.

151988980 is a gapful number since it is divisible by the number (10) 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 151988980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197426880).

151988980 is an abundant number, since it is smaller than the sum of its proper divisors (242864780).

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

151988980 is a wasteful number, since it uses less digits than its factorization.

151988980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 49.

The square root of 151988980 is about 12328.3810778220. The cubic root of 151988980 is about 533.6674321581.

The spelling of 151988980 in words is "one hundred fifty-one million, nine hundred eighty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 65 76 95 110 130 143 190 209 220 247 260 286 380 418 494 572 715 836 988 1045 1235 1430 2090 2470 2717 2797 2860 4180 4940 5434 5594 10868 11188 13585 13985 27170 27970 30767 36361 53143 54340 55940 61534 72722 106286 123068 145444 153835 181805 212572 265715 307670 363610 399971 531430 584573 615340 690859 727220 799942 1062860 1169146 1381718 1599884 1999855 2338292 2763436 2922865 3454295 3999710 5845730 6908590 7599449 7999420 11691460 13817180 15198898 30397796 37997245 75994490 151988980