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1040864080 = 245192231567
BaseRepresentation
bin111110000010100…
…101001101010000
32200112120101002111
4332002211031100
54112430122310
6251141155104
734536125104
oct7602451520
92615511074
101040864080
114945a4653
122506bba94
13137847109
149c347904
15615a428a
hex3e0a5350

1040864080 has 120 divisors (see below), whose sum is σ = 2666829312. Its totient is φ = 377042688.

The previous prime is 1040864053. The next prime is 1040864107. The reversal of 1040864080 is 804680401.

It is an interprime number because it is at equal distance from previous prime (1040864053) and next prime (1040864107).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 663457 + ... + 665023.

Almost surely, 21040864080 is an apocalyptic number.

1040864080 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 1040864080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333414656).

1040864080 is an abundant number, since it is smaller than the sum of its proper divisors (1625965232).

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

1040864080 is a wasteful number, since it uses less digits than its factorization.

1040864080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 1040864080 is about 32262.4252033228. The cubic root of 1040864080 is about 1013.4399193441.

The spelling of 1040864080 in words is "one billion, forty million, eight hundred sixty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 23 38 40 46 76 80 92 95 115 152 184 190 230 304 361 368 380 437 460 722 760 874 920 1444 1520 1567 1748 1805 1840 2185 2888 3134 3496 3610 4370 5776 6268 6992 7220 7835 8303 8740 12536 14440 15670 16606 17480 25072 28880 29773 31340 33212 34960 36041 41515 59546 62680 66424 72082 83030 119092 125360 132848 144164 148865 166060 180205 238184 288328 297730 332120 360410 476368 565687 576656 595460 664240 684779 720820 1131374 1190920 1369558 1441640 2262748 2381840 2739116 2828435 2883280 3423895 4525496 5478232 5656870 6847790 9050992 10956464 11313740 13010801 13695580 22627480 26021602 27391160 45254960 52043204 54782320 65054005 104086408 130108010 208172816 260216020 520432040 1040864080