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139986432 = 2932171787
BaseRepresentation
bin10000101100000…
…00011000000000
3100202102001021200
420112000120000
5241314031212
621520221200
73316602465
oct1026003000
9322361250
10139986432
1172022973
123aa6a800
1323004111
141483d66c
15c4526dc
hex8580600

139986432 has 120 divisors (see below), whose sum is σ = 428015016. Its totient is φ = 43892736.

The previous prime is 139986419. The next prime is 139986437. The reversal of 139986432 is 234689931.

It is a happy number.

139986432 is a `hidden beast` number, since 139 + 9 + 86 + 432 = 666.

It is a super-2 number, since 2×1399864322 = 39192402288181248, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139986437) 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, 77443 + ... + 79229.

Almost surely, 2139986432 is an apocalyptic number.

139986432 is a gapful number since it is divisible by the number (12) 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 139986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214007508).

139986432 is an abundant number, since it is smaller than the sum of its proper divisors (288028584).

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

139986432 is a wasteful number, since it uses less digits than its factorization.

139986432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 1809 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 139986432 is about 11831.5861996606. The cubic root of 139986432 is about 519.2326354146.

The spelling of 139986432 in words is "one hundred thirty-nine million, nine hundred eighty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 1787 2176 2304 2448 3264 3574 4352 4608 4896 5361 6528 7148 8704 9792 10722 13056 14296 16083 19584 21444 26112 28592 30379 32166 39168 42888 57184 60758 64332 78336 85776 91137 114368 121516 128664 171552 182274 228736 243032 257328 273411 343104 364548 457472 486064 514656 546822 686208 729096 914944 972128 1029312 1093644 1372416 1458192 1944256 2058624 2187288 2744832 2916384 3888512 4117248 4374576 5832768 7777024 8234496 8749152 11665536 15554048 17498304 23331072 34996608 46662144 69993216 139986432