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151950080 = 285176983
BaseRepresentation
bin10010000111010…
…01001100000000
3101120220212022202
421003221030000
5302344400310
623024452332
73523361102
oct1103511400
9346825282
10151950080
1178854387
1242a7a0a8
13256326b9
1416275572
15d5173a5
hex90e9300

151950080 has 72 divisors (see below), whose sum is σ = 385432992. Its totient is φ = 57196544.

The previous prime is 151950079. The next prime is 151950103. The reversal of 151950080 is 80059151.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18269 + ... + 25251.

It is an arithmetic number, because the mean of its divisors is an integer number (5353236).

Almost surely, 2151950080 is an apocalyptic number.

151950080 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 151950080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192716496).

151950080 is an abundant number, since it is smaller than the sum of its proper divisors (233482912).

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

151950080 is an equidigital number, since it uses as much as digits as its factorization.

151950080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 29.

The square root of 151950080 is about 12326.8033163509. The cubic root of 151950080 is about 533.6218993954.

The spelling of 151950080 in words is "one hundred fifty-one million, nine hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 544 640 680 1088 1280 1360 2176 2720 4352 5440 6983 10880 13966 21760 27932 34915 55864 69830 111728 118711 139660 223456 237422 279320 446912 474844 558640 593555 893824 949688 1117280 1187110 1787648 1899376 2234560 2374220 3798752 4469120 4748440 7597504 8938240 9496880 15195008 18993760 30390016 37987520 75975040 151950080