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127930368 = 212329359
BaseRepresentation
bin1111010000000…
…01000000000000
322220201112110210
413220001000000
5230222232433
620405554120
73112250556
oct750010000
9286645423
10127930368
1166238a85
1236a15940
1320672757
1412dc1bd6
15b370463
hex7a01000

127930368 has 104 divisors (see below), whose sum is σ = 353851200. Its totient is φ = 41058304.

The previous prime is 127930367. The next prime is 127930379. The reversal of 127930368 is 863039721.

It is not an unprimeable number, because it can be changed into a prime (127930367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356173 + ... + 356531.

Almost surely, 2127930368 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 127930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176925600).

127930368 is an abundant number, since it is smaller than the sum of its proper divisors (225920832).

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

127930368 is an equidigital number, since it uses as much as digits as its factorization.

127930368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 127930368 is about 11310.6307516425. The cubic root of 127930368 is about 503.8770171081.

The spelling of 127930368 in words is "one hundred twenty-seven million, nine hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 359 384 464 512 696 718 768 928 1024 1077 1392 1436 1536 1856 2048 2154 2784 2872 3072 3712 4096 4308 5568 5744 6144 7424 8616 10411 11136 11488 12288 14848 17232 20822 22272 22976 29696 31233 34464 41644 44544 45952 59392 62466 68928 83288 89088 91904 118784 124932 137856 166576 178176 183808 249864 275712 333152 356352 367616 499728 551424 666304 735232 999456 1102848 1332608 1470464 1998912 2205696 2665216 3997824 4411392 5330432 7995648 10660864 15991296 21321728 31982592 42643456 63965184 127930368