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1040834640 = 2435231571201
BaseRepresentation
bin111110000010011…
…110000001010000
32200112111212201010
4332002132001100
54112423202030
6251140410520
734535643216
oct7602360120
92615455633
101040834640
1149458451a
122506a6a40
131378368b1
149c33acb6
156159a6b0
hex3e09e050

1040834640 has 160 divisors (see below), whose sum is σ = 3391140096. Its totient is φ = 263577600.

The previous prime is 1040834629. The next prime is 1040834671. The reversal of 1040834640 is 464380401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1040834598 and 1040834607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866040 + ... + 867240.

Almost surely, 21040834640 is an apocalyptic number.

1040834640 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 1040834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695570048).

1040834640 is an abundant number, since it is smaller than the sum of its proper divisors (2350305456).

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

1040834640 is a wasteful number, since it uses less digits than its factorization.

1040834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 1040834640 is about 32261.9689417742. The cubic root of 1040834640 is about 1013.4303644774.

The spelling of 1040834640 in words is "one billion, forty million, eight hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 157 184 230 240 276 314 345 368 460 471 552 628 690 785 920 942 1104 1201 1256 1380 1570 1840 1884 2355 2402 2512 2760 3140 3603 3611 3768 4710 4804 5520 6005 6280 7206 7222 7536 9420 9608 10833 12010 12560 14412 14444 18015 18055 18840 19216 21666 24020 27623 28824 28888 36030 36110 37680 43332 48040 54165 55246 57648 57776 72060 72220 82869 86664 96080 108330 110492 138115 144120 144440 165738 173328 188557 216660 220984 276230 288240 288880 331476 377114 414345 433320 441968 552460 565671 662952 754228 828690 866640 942785 1104920 1131342 1325904 1508456 1657380 1885570 2209840 2262684 2828355 3016912 3314760 3771140 4336811 4525368 5656710 6629520 7542280 8673622 9050736 11313420 13010433 15084560 17347244 21684055 22626840 26020866 34694488 43368110 45253680 52041732 65052165 69388976 86736220 104083464 130104330 173472440 208166928 260208660 346944880 520417320 1040834640