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139992768 = 2632359677
BaseRepresentation
bin10000101100000…
…01111011000000
3100202102100222100
420112001323000
5241314232033
621520310400
73316630116
oct1026017300
9322370870
10139992768
1172027703
123aa72400
1323006c76
1414841ab6
15c454513
hex8581ec0

139992768 has 84 divisors (see below), whose sum is σ = 402976080. Its totient is φ = 46465536.

The previous prime is 139992761. The next prime is 139992791. The reversal of 139992768 is 867299931.

It is not an unprimeable number, because it can be changed into a prime (139992761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206446 + ... + 207122.

Almost surely, 2139992768 is an apocalyptic number.

139992768 is a gapful number since it is divisible by the number (18) 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 139992768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201488040).

139992768 is an abundant number, since it is smaller than the sum of its proper divisors (262983312).

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

139992768 is a wasteful number, since it uses less digits than its factorization.

139992768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1041 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 54.

The square root of 139992768 is about 11831.8539544739. The cubic root of 139992768 is about 519.2404690508.

The spelling of 139992768 in words is "one hundred thirty-nine million, nine hundred ninety-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 359 576 677 718 1077 1354 1436 2031 2154 2708 2872 3231 4062 4308 5416 5744 6093 6462 8124 8616 10832 11488 12186 12924 16248 17232 21664 22976 24372 25848 32496 34464 43328 48744 51696 64992 68928 97488 103392 129984 194976 206784 243043 389952 486086 729129 972172 1458258 1944344 2187387 2916516 3888688 4374774 5833032 7777376 8749548 11666064 15554752 17499096 23332128 34998192 46664256 69996384 139992768