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147009936 = 2433123187
BaseRepresentation
bin10001100001100…
…11000110010000
3101020121212201110
420300303012100
5300113304221
622330533320
73433364253
oct1060630620
9336555643
10147009936
1175a8a817
1241297240
13245c2c38
141574b09a
15cd8d776
hex8c33190

147009936 has 60 divisors (see below), whose sum is σ = 392544816. Its totient is φ = 47407680.

The previous prime is 147009923. The next prime is 147009953. The reversal of 147009936 is 639900741.

It is a super-2 number, since 2×1470099362 = 43223842565448192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 147009894 and 147009903.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44535 + ... + 47721.

Almost surely, 2147009936 is an apocalyptic number.

147009936 is a gapful number since it is divisible by the number (16) 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 147009936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196272408).

147009936 is an abundant number, since it is smaller than the sum of its proper divisors (245534880).

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

147009936 is a wasteful number, since it uses less digits than its factorization.

147009936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 147009936 is about 12124.7653997923. The cubic root of 147009936 is about 527.7750993507.

The spelling of 147009936 in words is "one hundred forty-seven million, nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 961 1488 1922 2883 3187 3844 5766 6374 7688 9561 11532 12748 15376 19122 23064 25496 38244 46128 50992 76488 98797 152976 197594 296391 395188 592782 790376 1185564 1580752 2371128 3062707 4742256 6125414 9188121 12250828 18376242 24501656 36752484 49003312 73504968 147009936