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1142932128 = 2531335419
BaseRepresentation
bin100010000011111…
…1100001010100000
32221122121222010120
41010013330022200
54320042312003
6305225000240
740215522432
oct10407741240
92848558116
101142932128
11537178908
1227a923080
13152a33000
14abb16652
156a516853
hex441fc2a0

1142932128 has 96 divisors (see below), whose sum is σ = 3250699200. Its totient is φ = 351606528.

The previous prime is 1142932103. The next prime is 1142932201. The reversal of 1142932128 is 8212392411.

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

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, 208203 + ... + 213621.

It is an arithmetic number, because the mean of its divisors is an integer number (33861450).

Almost surely, 21142932128 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 1142932128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625349600).

1142932128 is an abundant number, since it is smaller than the sum of its proper divisors (2107767072).

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

1142932128 is an equidigital number, since it uses as much as digits as its factorization.

1142932128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5437 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 1142932128 is about 33807.2792161688. The cubic root of 1142932128 is about 1045.5387827795.

The spelling of 1142932128 in words is "one billion, one hundred forty-two million, nine hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2197 2704 4056 4394 5408 5419 6591 8112 8788 10838 13182 16224 16257 17576 21676 26364 32514 35152 43352 52728 65028 70304 70447 86704 105456 130056 140894 173408 210912 211341 260112 281788 422682 520224 563576 845364 915811 1127152 1690728 1831622 2254304 2747433 3381456 3663244 5494866 6762912 7326488 10989732 11905543 14652976 21979464 23811086 29305952 35716629 43958928 47622172 71433258 87917856 95244344 142866516 190488688 285733032 380977376 571466064 1142932128