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129990528 = 2733291297
BaseRepresentation
bin1111011111101…
…11111110000000
3100001121012111000
413233313332000
5231234144103
620522052000
73135621063
oct757677600
9301535430
10129990528
1167415898
123764a000
1320c14395
141339a8da
15b62aaa3
hex7bf7f80

129990528 has 128 divisors (see below), whose sum is σ = 397188000. Its totient is φ = 41803776.

The previous prime is 129990493. The next prime is 129990587. The reversal of 129990528 is 825099921.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99576 + ... + 100872.

Almost surely, 2129990528 is an apocalyptic number.

129990528 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 129990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198594000).

129990528 is an abundant number, since it is smaller than the sum of its proper divisors (267197472).

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

129990528 is a wasteful number, since it uses less digits than its factorization.

129990528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 129990528 is about 11401.3388687470. The cubic root of 129990528 is about 506.5673982191.

The spelling of 129990528 in words is "one hundred twenty-nine million, nine hundred ninety thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 261 288 348 384 432 464 522 576 696 783 864 928 1044 1152 1297 1392 1566 1728 1856 2088 2594 2784 3132 3456 3712 3891 4176 5188 5568 6264 7782 8352 10376 11136 11673 12528 15564 16704 20752 23346 25056 31128 33408 35019 37613 41504 46692 50112 62256 70038 75226 83008 93384 100224 112839 124512 140076 150452 166016 186768 225678 249024 280152 300904 338517 373536 451356 498048 560304 601808 677034 747072 902712 1015551 1120608 1203616 1354068 1494144 1805424 2031102 2241216 2407232 2708136 3610848 4062204 4482432 4814464 5416272 7221696 8124408 10832544 14443392 16248816 21665088 32497632 43330176 64995264 129990528