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1045696080 = 2435111330469
BaseRepresentation
bin111110010101000…
…000111001010000
32200212122212100110
4332111000321100
54120144233310
6251432521320
734625161422
oct7625007120
92625585313
101045696080
114972a4a40
12252250240
131388495a0
149cc44812
1561c0ad20
hex3e540e50

1045696080 has 160 divisors (see below), whose sum is σ = 3808506240. Its totient is φ = 233994240.

The previous prime is 1045696039. The next prime is 1045696087. The reversal of 1045696080 is 806965401.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045696087) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19086 + ... + 49554.

It is an arithmetic number, because the mean of its divisors is an integer number (23803164).

Almost surely, 21045696080 is an apocalyptic number.

1045696080 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 1045696080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904253120).

1045696080 is an abundant number, since it is smaller than the sum of its proper divisors (2762810160).

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

1045696080 is a wasteful number, since it uses less digits than its factorization.

1045696080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30509 (or 30503 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1045696080 is about 32337.2243706846. The cubic root of 1045696080 is about 1015.0057284898.

The spelling of 1045696080 in words is "one billion, forty-five million, six hundred ninety-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 30469 34320 60938 91407 121876 152345 182814 243752 304690 335159 365628 396097 457035 487504 609380 670318 731256 792194 914070 1005477 1188291 1218760 1340636 1462512 1584388 1675795 1828140 1980485 2010954 2376582 2437520 2681272 3168776 3351590 3656280 3960970 4021908 4357067 4753164 5027385 5362544 5941455 6337552 6703180 7312560 7921940 8043816 8714134 9506328 10054770 11882910 13071201 13406360 15843880 16087632 17428268 19012656 20109540 21785335 23765820 26142402 26812720 31687760 34856536 40219080 43570670 47531640 52284804 65356005 69713072 80438160 87141340 95063280 104569608 130712010 174282680 209139216 261424020 348565360 522848040 1045696080