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36420672 = 263189691
BaseRepresentation
bin1000101011101…
…1110001000000
32112112100202210
42022323301000
533310430142
63340342120
7621366501
oct212736100
975470683
1036420672
1119616432
1210244940
1377125c2
144ba0ba8
1532e649c
hex22bbc40

36420672 has 28 divisors (see below), whose sum is σ = 96363536. Its totient is φ = 12140160.

The previous prime is 36420667. The next prime is 36420677. The reversal of 36420672 is 27602463.

It is an interprime number because it is at equal distance from previous prime (36420667) and next prime (36420677).

It is not an unprimeable number, because it can be changed into a prime (36420677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94654 + ... + 95037.

Almost surely, 236420672 is an apocalyptic number.

36420672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

36420672 is an abundant number, since it is smaller than the sum of its proper divisors (59942864).

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

36420672 is a wasteful number, since it uses less digits than its factorization.

36420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189706 (or 189696 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 36420672 is about 6034.9541837532. The cubic root of 36420672 is about 331.4738848638.

The spelling of 36420672 in words is "thirty-six million, four hundred twenty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 189691 379382 569073 758764 1138146 1517528 2276292 3035056 4552584 6070112 9105168 12140224 18210336 36420672