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1230039936 = 27321956197
BaseRepresentation
bin100100101010000…
…1110101110000000
310011201112111120200
41021110032232000
510004342234221
6322020005200
742324111156
oct11124165600
93151474520
101230039936
11581364234
122a3b30800
13167ab16a8
14b950d3d6
1572ec1426
hex4950eb80

1230039936 has 96 divisors (see below), whose sum is σ = 3725927400. Its totient is φ = 388426752.

The previous prime is 1230039887. The next prime is 1230039949. The reversal of 1230039936 is 6399300321.

It is a happy number.

1230039936 is a `hidden beast` number, since 1 + 230 + 0 + 399 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1230039936.

It is a congruent number.

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, 6211 + ... + 49986.

Almost surely, 21230039936 is an apocalyptic number.

1230039936 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 1230039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862963700).

1230039936 is an abundant number, since it is smaller than the sum of its proper divisors (2495887464).

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

1230039936 is a wasteful number, since it uses less digits than its factorization.

1230039936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56236 (or 56221 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1230039936 is about 35071.9251824019. The cubic root of 1230039936 is about 1071.4528655215.

The spelling of 1230039936 in words is "one billion, two hundred thirty million, thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 56197 112394 168591 224788 337182 449576 505773 674364 899152 1011546 1067743 1348728 1798304 2023092 2135486 2697456 3203229 3596608 4046184 4270972 5394912 6406458 7193216 8092368 8541944 9609687 10789824 12812916 16184736 17083888 19219374 21579648 25625832 32369472 34167776 38438748 51251664 64738944 68335552 76877496 102503328 136671104 153754992 205006656 307509984 410013312 615019968 1230039936