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151920480 = 2535316501
BaseRepresentation
bin10010000111000…
…01111101100000
3101120212100201110
421003201331200
5302342423410
623024103320
73523205565
oct1103417540
9346770643
10151920480
1178834118
1242a64b40
132562209a
141626886c
15d50d720
hex90e1f60

151920480 has 48 divisors (see below), whose sum is σ = 478551024. Its totient is φ = 40512000.

The previous prime is 151920443. The next prime is 151920481. The reversal of 151920480 is 84029151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151920481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157771 + ... + 158730.

It is an arithmetic number, because the mean of its divisors is an integer number (9969813).

Almost surely, 2151920480 is an apocalyptic number.

151920480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151920480 is an abundant number, since it is smaller than the sum of its proper divisors (326630544).

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

151920480 is a wasteful number, since it uses less digits than its factorization.

151920480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316519 (or 316511 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 151920480 is about 12325.6026221844. The cubic root of 151920480 is about 533.5872471509.

The spelling of 151920480 in words is "one hundred fifty-one million, nine hundred twenty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 316501 633002 949503 1266004 1582505 1899006 2532008 3165010 3798012 4747515 5064016 6330020 7596024 9495030 10128032 12660040 15192048 18990060 25320080 30384096 37980120 50640160 75960240 151920480