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136679424 = 212372227
BaseRepresentation
bin10000010010110…
…01000000000000
3100112012000220220
420021121000000
5234442220144
621321303040
73246520200
oct1011310000
9315160826
10136679424
1170174302
1239934a80
1322416acb
141421c400
15beec919
hex8259000

136679424 has 156 divisors (see below), whose sum is σ = 425800944. Its totient is φ = 38879232.

The previous prime is 136679423. The next prime is 136679441. The reversal of 136679424 is 424976631.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (136679423) 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, 601999 + ... + 602225.

Almost surely, 2136679424 is an apocalyptic number.

136679424 is a gapful number since it is divisible by the number (14) 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 136679424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212900472).

136679424 is an abundant number, since it is smaller than the sum of its proper divisors (289121520).

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

136679424 is an equidigital number, since it uses as much as digits as its factorization.

136679424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 239 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 136679424 is about 11690.9975622271. The cubic root of 136679424 is about 515.1112638603. Note that the first 3 decimals are identical.

The spelling of 136679424 in words is "one hundred thirty-six million, six hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 227 256 294 336 384 392 448 454 512 588 672 681 768 784 896 908 1024 1176 1344 1362 1536 1568 1589 1792 1816 2048 2352 2688 2724 3072 3136 3178 3584 3632 4096 4704 4767 5376 5448 6144 6272 6356 7168 7264 9408 9534 10752 10896 11123 12288 12544 12712 14336 14528 18816 19068 21504 21792 22246 25088 25424 28672 29056 33369 37632 38136 43008 43584 44492 50176 50848 58112 66738 75264 76272 86016 87168 88984 100352 101696 116224 133476 150528 152544 174336 177968 200704 203392 232448 266952 301056 305088 348672 355936 406784 464896 533904 602112 610176 697344 711872 813568 929792 1067808 1220352 1394688 1423744 1627136 2135616 2440704 2789376 2847488 3254272 4271232 4881408 5694976 6508544 8542464 9762816 11389952 17084928 19525632 22779904 34169856 45559808 68339712 136679424