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128140704 = 25371831
BaseRepresentation
bin1111010001101…
…00010110100000
322221010020000000
413220310112200
5230301000304
620414300000
73114115026
oct750642640
9287106000
10128140704
116637200a
1236ab7600
1320717403
1413038716
15b3b2939
hex7a345a0

128140704 has 96 divisors (see below), whose sum is σ = 378564480. Its totient is φ = 42690240.

The previous prime is 128140699. The next prime is 128140709. The reversal of 128140704 is 407041821.

It is an interprime number because it is at equal distance from previous prime (128140699) and next prime (128140709).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (128140709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69069 + ... + 70899.

It is an arithmetic number, because the mean of its divisors is an integer number (3943380).

Almost surely, 2128140704 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 128140704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189282240).

128140704 is an abundant number, since it is smaller than the sum of its proper divisors (250423776).

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

128140704 is an frugal number, since it uses more digits than its factorization.

128140704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 128140704 is about 11319.9250880914. The cubic root of 128140704 is about 504.1530147644.

The spelling of 128140704 in words is "one hundred twenty-eight million, one hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1831 1944 2187 2592 2916 3662 3888 4374 5493 5832 7324 7776 8748 10986 11664 14648 16479 17496 21972 23328 29296 32958 34992 43944 49437 58592 65916 69984 87888 98874 131832 148311 175776 197748 263664 296622 395496 444933 527328 593244 790992 889866 1186488 1334799 1581984 1779732 2372976 2669598 3559464 4004397 4745952 5339196 7118928 8008794 10678392 14237856 16017588 21356784 32035176 42713568 64070352 128140704