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207148464 = 24327120261
BaseRepresentation
bin11000101100011…
…01010110110000
3112102210020021100
430112031112300
5411012222324
632315524400
75063506245
oct1426152660
9472706240
10207148464
11a6a25786
1259459700
1333bbac73
141d7235cc
15132bc4c9
hexc58d5b0

207148464 has 60 divisors (see below), whose sum is σ = 587922192. Its totient is φ = 68073600.

The previous prime is 207148463. The next prime is 207148471. The reversal of 207148464 is 464841702.

It is a super-2 number, since 2×2071484642 = 85820972275118592, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (207148463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94 + ... + 20354.

Almost surely, 2207148464 is an apocalyptic number.

207148464 is a gapful number since it is divisible by the number (24) 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 207148464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293961096).

207148464 is an abundant number, since it is smaller than the sum of its proper divisors (380773728).

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

207148464 is a wasteful number, since it uses less digits than its factorization.

207148464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20346 (or 20337 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 207148464 is about 14392.6531258139. The cubic root of 207148464 is about 591.6895590517.

The spelling of 207148464 in words is "two hundred seven million, one hundred forty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224 20261 40522 60783 81044 121566 162088 182349 243132 324176 364698 486264 729396 972528 1438531 1458792 2877062 2917584 4315593 5754124 8631186 11508248 12946779 17262372 23016496 25893558 34524744 51787116 69049488 103574232 207148464