Search a number
-
+
1163317920 = 253523105373
BaseRepresentation
bin100010101010110…
…1101001010100000
310000001222200011220
41011111231022200
54340302133140
6311233535040
740554016302
oct10525551240
93001880156
101163317920
11547731a76
12285714480
1315701cbcb
14b0701972
156c1e1bd0
hex4556d2a0

1163317920 has 96 divisors (see below), whose sum is σ = 3823811712. Its totient is φ = 296727552.

The previous prime is 1163317901. The next prime is 1163317949. The reversal of 1163317920 is 297133611.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 41647 + ... + 63726.

It is an arithmetic number, because the mean of its divisors is an integer number (39831372).

Almost surely, 21163317920 is an apocalyptic number.

1163317920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1163317920 is an abundant number, since it is smaller than the sum of its proper divisors (2660493792).

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

1163317920 is a wasteful number, since it uses less digits than its factorization.

1163317920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105414 (or 105406 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 1163317920 is about 34107.4466942338. The cubic root of 1163317920 is about 1051.7184015958.

It can be divided in two parts, 116331 and 7920, that added together give a triangular number (124251 = T498).

The spelling of 1163317920 in words is "one billion, one hundred sixty-three million, three hundred seventeen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 105373 210746 316119 421492 526865 632238 842984 1053730 1264476 1580595 1685968 2107460 2423579 2528952 3161190 3371936 4214920 4847158 5057904 6322380 7270737 8429840 9694316 10115808 12117895 12644760 14541474 16859680 19388632 24235790 25289520 29082948 36353685 38777264 48471580 50579040 58165896 72707370 77554528 96943160 116331792 145414740 193886320 232663584 290829480 387772640 581658960 1163317920