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23372064 = 253471127
BaseRepresentation
bin101100100101…
…0000100100000
31121222102110000
41121022010200
521440401224
62152540000
7402442062
oct131120440
947872400
1023372064
1112213861
1279b1600
134ac4231
143165732
1520ba0c9
hex164a120

23372064 has 120 divisors (see below), whose sum is σ = 70253568. Its totient is φ = 7620480.

The previous prime is 23372029. The next prime is 23372077. The reversal of 23372064 is 46027332.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 183969 + ... + 184095.

Almost surely, 223372064 is an apocalyptic number.

23372064 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 23372064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126784).

23372064 is an abundant number, since it is smaller than the sum of its proper divisors (46881504).

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

23372064 is a wasteful number, since it uses less digits than its factorization.

23372064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 23372064 is about 4834.4662580268. The cubic root of 23372064 is about 285.9119816517.

Adding to 23372064 its reverse (46027332), we get a palindrome (69399396).

The spelling of 23372064 in words is "twenty-three million, three hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 127 142 144 162 213 216 254 284 288 324 381 426 432 508 568 639 648 762 852 864 1016 1136 1143 1278 1296 1524 1704 1917 2032 2272 2286 2556 2592 3048 3408 3429 3834 4064 4572 5112 5751 6096 6816 6858 7668 9017 9144 10224 10287 11502 12192 13716 15336 18034 18288 20448 20574 23004 27051 27432 30672 36068 36576 41148 46008 54102 54864 61344 72136 81153 82296 92016 108204 109728 144272 162306 164592 184032 216408 243459 288544 324612 329184 432816 486918 649224 730377 865632 973836 1298448 1460754 1947672 2596896 2921508 3895344 5843016 7790688 11686032 23372064