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128020992 = 293117577
BaseRepresentation
bin1111010000101…
…11001000000000
322220220010210020
413220113020000
5230233132432
620411533440
73113106021
oct750271000
9286803706
10128020992
11662a0080
1236a5a280
13206a4a88
1413006c48
15b38c22c
hex7a17200

128020992 has 80 divisors (see below), whose sum is σ = 372110112. Its totient is φ = 38789120.

The previous prime is 128020969. The next prime is 128021011. The reversal of 128020992 is 299020821.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13108 + ... + 20684.

Almost surely, 2128020992 is an apocalyptic number.

128020992 is a gapful number since it is divisible by the number (12) 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 128020992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186055056).

128020992 is an abundant number, since it is smaller than the sum of its proper divisors (244089120).

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

128020992 is an equidigital number, since it uses as much as digits as its factorization.

128020992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7593 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 128020992 is about 11314.6361850481. The cubic root of 128020992 is about 503.9959687256.

The spelling of 128020992 in words is "one hundred twenty-eight million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1056 1408 1536 2112 2816 4224 5632 7577 8448 15154 16896 22731 30308 45462 60616 83347 90924 121232 166694 181848 242464 250041 333388 363696 484928 500082 666776 727392 969856 1000164 1333552 1454784 1939712 2000328 2667104 2909568 3879424 4000656 5334208 5819136 8001312 10668416 11638272 16002624 21336832 32005248 42673664 64010496 128020992