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150071616 = 263428949
BaseRepresentation
bin10001111000111…
…10100101000000
3101110101102120000
420330132211000
5301404242431
622520320000
73501405402
oct1074364500
9343342500
10150071616
1177791032
1242313000
1325125696
1415d06b72
15d2959e6
hex8f1e940

150071616 has 70 divisors (see below), whose sum is σ = 444874650. Its totient is φ = 50022144.

The previous prime is 150071569. The next prime is 150071617. The reversal of 150071616 is 616170051.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 254016 = 12240^2 + 504^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 150071616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150071617) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9291 + ... + 19658.

Almost surely, 2150071616 is an apocalyptic number.

150071616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150071616 is an abundant number, since it is smaller than the sum of its proper divisors (294803034).

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

150071616 is an equidigital number, since it uses as much as digits as its factorization.

150071616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28973 (or 28954 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 150071616 is about 12250.3720759820. The cubic root of 150071616 is about 531.4138304221.

The spelling of 150071616 in words is "one hundred fifty million, seventy-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 28949 57898 86847 115796 173694 231592 260541 347388 463184 521082 694776 781623 926368 1042164 1389552 1563246 1852736 2084328 2344869 2779104 3126492 4168656 4689738 5558208 6252984 8337312 9379476 12505968 16674624 18758952 25011936 37517904 50023872 75035808 150071616