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151988004 = 22327286161
BaseRepresentation
bin10010000111100…
…10011100100100
3101120222210100100
421003302130210
5302402104004
623025344100
73523606500
oct1103623444
9346883310
10151988004
117887a923
1242a98030
1325646a3c
1416285300
15d523739
hex90f2724

151988004 has 54 divisors (see below), whose sum is σ = 446922294. Its totient is φ = 43424640.

The previous prime is 151988003. The next prime is 151988017. The reversal of 151988004 is 400889151.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 50381604 = 10080^2 + 7098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 151988004.

It is not an unprimeable number, because it can be changed into a prime (151988003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41317 + ... + 44844.

Almost surely, 2151988004 is an apocalyptic number.

151988004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151988004 is an abundant number, since it is smaller than the sum of its proper divisors (294934290).

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

151988004 is a wasteful number, since it uses less digits than its factorization.

151988004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86185 (or 86173 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 151988004 is about 12328.3414942968. The cubic root of 151988004 is about 533.6662898372. Note that the first 3 decimals are identical.

The spelling of 151988004 in words is "one hundred fifty-one million, nine hundred eighty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 86161 172322 258483 344644 516966 603127 775449 1033932 1206254 1550898 1809381 2412508 3101796 3618762 4221889 5428143 7237524 8443778 10856286 12665667 16887556 21712572 25331334 37997001 50662668 75994002 151988004