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129720448 = 27111319373
BaseRepresentation
bin1111011101101…
…10000010000000
3100001002111000001
413232312002000
5231202023243
620512205344
73133414504
oct756660200
9301074001
10129720448
1167250990
1237539854
1320b4b480
141332a304
15b5c5a4d
hex7bb6080

129720448 has 128 divisors (see below), whose sum is σ = 320443200. Its totient is φ = 51425280.

The previous prime is 129720431. The next prime is 129720457. The reversal of 129720448 is 844027921.

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

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, 347590 + ... + 347962.

Almost surely, 2129720448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160221600).

129720448 is an abundant number, since it is smaller than the sum of its proper divisors (190722752).

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

129720448 is a wasteful number, since it uses less digits than its factorization.

129720448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 129720448 is about 11389.4884871973. The cubic root of 129720448 is about 506.2163249866.

The spelling of 129720448 in words is "one hundred twenty-nine million, seven hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 19 22 26 32 38 44 52 64 76 88 104 128 143 152 176 208 209 247 286 304 352 373 416 418 494 572 608 704 746 832 836 988 1144 1216 1408 1492 1664 1672 1976 2288 2432 2717 2984 3344 3952 4103 4576 4849 5434 5968 6688 7087 7904 8206 9152 9698 10868 11936 13376 14174 15808 16412 18304 19396 21736 23872 26752 28348 31616 32824 38792 43472 47744 53339 56696 65648 77584 77957 86944 92131 106678 113392 131296 155168 155914 173888 184262 213356 226784 262592 310336 311828 347776 368524 426712 453568 525184 620672 623656 737048 853424 907136 1013441 1247312 1474096 1706848 2026882 2494624 2948192 3413696 4053764 4989248 5896384 6827392 8107528 9978496 11792768 16215056 32430112 64860224 129720448