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128972704 = 257283991
BaseRepresentation
bin1111010111111…
…11011110100000
322222200111021211
413223333132200
5231004111304
620444155504
73124151500
oct753773640
9288614254
10128972704
1166890113
1237238b94
1320949013
14131b3a00
15b4c9204
hex7aff7a0

128972704 has 72 divisors (see below), whose sum is σ = 299230848. Its totient is φ = 54552960.

The previous prime is 128972689. The next prime is 128972717. The reversal of 128972704 is 407279821.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129649 + ... + 130639.

It is an arithmetic number, because the mean of its divisors is an integer number (4155984).

Almost surely, 2128972704 is an apocalyptic number.

128972704 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 128972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

128972704 is an abundant number, since it is smaller than the sum of its proper divisors (170258144).

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

128972704 is an equidigital number, since it uses as much as digits as its factorization.

128972704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 128972704 is about 11356.6149886311. The cubic root of 128972704 is about 505.2417938274.

The spelling of 128972704 in words is "one hundred twenty-eight million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 112 166 196 224 332 392 581 664 784 991 1162 1328 1568 1982 2324 2656 3964 4067 4648 6937 7928 8134 9296 13874 15856 16268 18592 27748 31712 32536 48559 55496 65072 82253 97118 110992 130144 164506 194236 221984 329012 388472 575771 658024 776944 1151542 1316048 1553888 2303084 2632096 4030397 4606168 8060794 9212336 16121588 18424672 32243176 64486352 128972704