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1513104040 = 2357172411319
BaseRepresentation
bin101101000110000…
…0010001010101000
310220110011122112101
41122030002022220
511044323312130
6410051023144
752332113020
oct13214021250
93813148471
101513104040
11707120508
1236289aab4
131b162c946
14104d54a80
158cc871ca
hex5a3022a8

1513104040 has 128 divisors (see below), whose sum is σ = 4139942400. Its totient is φ = 485867520.

The previous prime is 1513103987. The next prime is 1513104077. The reversal of 1513104040 is 404013151.

It is a junction number, because it is equal to n+sod(n) for n = 1513103999 and 1513104017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1146501 + ... + 1147819.

It is an arithmetic number, because the mean of its divisors is an integer number (32343300).

Almost surely, 21513104040 is an apocalyptic number.

1513104040 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 1513104040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2069971200).

1513104040 is an abundant number, since it is smaller than the sum of its proper divisors (2626838360).

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

1513104040 is a wasteful number, since it uses less digits than its factorization.

1513104040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1591 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1513104040 is about 38898.6380224295. The cubic root of 1513104040 is about 1148.0380004984.

Adding to 1513104040 its reverse (404013151), we get a palindrome (1917117191).

The spelling of 1513104040 in words is "one billion, five hundred thirteen million, one hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 241 280 340 476 482 595 680 952 964 1190 1205 1319 1687 1928 2380 2410 2638 3374 4097 4760 4820 5276 6595 6748 8194 8435 9233 9640 10552 13190 13496 16388 16870 18466 20485 22423 26380 28679 32776 33740 36932 40970 44846 46165 52760 57358 67480 73864 81940 89692 92330 112115 114716 143395 156961 163880 179384 184660 224230 229432 286790 313922 317879 369320 448460 573580 627844 635758 784805 896920 1147160 1255688 1271516 1569610 1589395 2225153 2543032 3139220 3178790 4450306 5403943 6278440 6357580 8900612 10807886 11125765 12715160 17801224 21615772 22251530 27019715 37827601 43231544 44503060 54039430 75655202 89006120 108078860 151310404 189138005 216157720 302620808 378276010 756552020 1513104040