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961365080 = 2351329371723
BaseRepresentation
bin111001010011010…
…100010001011000
32110222222101222002
4321103110101120
53432102140310
6235221220132
732552316434
oct7123242130
92428871862
10961365080
114537358a5
12229b61648
13124230aa0
14919719c4
15595edda5
hex394d4458

961365080 has 128 divisors (see below), whose sum is σ = 2476353600. Its totient is φ = 333268992.

The previous prime is 961365071. The next prime is 961365091. The reversal of 961365080 is 80563169.

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 31 ways as a sum of consecutive naturals, for example, 557099 + ... + 558821.

Almost surely, 2961365080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961365080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238176800).

961365080 is an abundant number, since it is smaller than the sum of its proper divisors (1514988520).

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

961365080 is a wasteful number, since it uses less digits than its factorization.

961365080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 961365080 is about 31005.8878279594. The cubic root of 961365080 is about 986.9521883887.

The spelling of 961365080 in words is "nine hundred sixty-one million, three hundred sixty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 29 37 40 52 58 65 74 104 116 130 145 148 185 232 260 290 296 370 377 481 520 580 740 754 962 1073 1160 1480 1508 1723 1885 1924 2146 2405 3016 3446 3770 3848 4292 4810 5365 6892 7540 8584 8615 9620 10730 13784 13949 15080 17230 19240 21460 22399 27898 34460 42920 44798 49967 55796 63751 68920 69745 89596 99934 111592 111995 127502 139490 179192 199868 223990 249835 255004 278980 318755 399736 447980 499670 510008 557960 637510 649571 828763 895960 999340 1275020 1299142 1657526 1848779 1998680 2550040 2598284 3247855 3315052 3697558 4143815 5196568 6495710 6630104 7395116 8287630 9243895 12991420 14790232 16575260 18487790 24034127 25982840 33150520 36975580 48068254 73951160 96136508 120170635 192273016 240341270 480682540 961365080