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1042327680 = 27355310243
BaseRepresentation
bin111110001000001…
…010100010000000
32200122022201202220
4332020022202000
54113313441210
6251232411040
734554432132
oct7610124200
92618281686
101042327680
11495404239
122510a6a80
13137c3a354
149c609052
1561792c70
hex3e20a880

1042327680 has 128 divisors (see below), whose sum is σ = 3385437120. Its totient is φ = 272683008.

The previous prime is 1042327633. The next prime is 1042327691. The reversal of 1042327680 is 867232401.

It is a tau number, because it is divible by the number of its divisors (128).

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, 96639 + ... + 106881.

Almost surely, 21042327680 is an apocalyptic number.

1042327680 is a gapful number since it is divisible by the number (10) 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 1042327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692718560).

1042327680 is an abundant number, since it is smaller than the sum of its proper divisors (2343109440).

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

1042327680 is a wasteful number, since it uses less digits than its factorization.

1042327680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1042327680 is about 32285.0999688711. The cubic root of 1042327680 is about 1013.9147094755.

The spelling of 1042327680 in words is "one billion, forty-two million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 64 80 96 106 120 128 159 160 192 212 240 265 318 320 384 424 480 530 636 640 795 848 960 1060 1272 1590 1696 1920 2120 2544 3180 3392 4240 5088 6360 6784 8480 10176 10243 12720 16960 20352 20486 25440 30729 33920 40972 50880 51215 61458 81944 101760 102430 122916 153645 163888 204860 245832 307290 327776 409720 491664 542879 614580 655552 819440 983328 1085758 1229160 1311104 1628637 1638880 1966656 2171516 2458320 2714395 3257274 3277760 3933312 4343032 4916640 5428790 6514548 6555520 8143185 8686064 9833280 10857580 13029096 16286370 17372128 19666560 21715160 26058192 32572740 34744256 43430320 52116384 65145480 69488512 86860640 104232768 130290960 173721280 208465536 260581920 347442560 521163840 1042327680