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151988564 = 22713715881
BaseRepresentation
bin10010000111100…
…10100101010100
3101120222211010002
421003302211110
5302402113224
623025350432
73523611230
oct1103624524
9346884102
10151988564
1178880292
1242a98418
1325647080
14162855c0
15d5239ae
hex90f2954

151988564 has 48 divisors (see below), whose sum is σ = 332027136. Its totient is φ = 59270400.

The previous prime is 151988533. The next prime is 151988609. The reversal of 151988564 is 465889151.

It is a happy number.

151988564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22904 + ... + 28784.

It is an arithmetic number, because the mean of its divisors is an integer number (6917232).

Almost surely, 2151988564 is an apocalyptic number.

151988564 is a gapful number since it is divisible by the number (14) 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 151988564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166013568).

151988564 is an abundant number, since it is smaller than the sum of its proper divisors (180038572).

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

151988564 is a wasteful number, since it uses less digits than its factorization.

151988564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5976 (or 5974 counting only the distinct ones).

The product of its digits is 345600, while the sum is 47.

The square root of 151988564 is about 12328.3642061711. The cubic root of 151988564 is about 533.6669452678. Note that the first 3 decimals are identical.

The spelling of 151988564 in words is "one hundred fifty-one million, nine hundred eighty-eight thousand, five hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 142 182 284 364 497 923 994 1846 1988 3692 5881 6461 11762 12922 23524 25844 41167 76453 82334 152906 164668 305812 417551 535171 835102 1070342 1670204 2140684 2922857 5428163 5845714 10856326 11691428 21712652 37997141 75994282 151988564