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961555020 = 2235172232411
BaseRepresentation
bin111001010100000…
…010101001001100
32111000100001111220
4321110002221030
53432124230040
6235225243340
732554040256
oct7124025114
92430301456
10961555020
11453855578
1222a033550
1312429938a
14919c0cd6
155963a2d0
hex39502a4c

961555020 has 144 divisors (see below), whose sum is σ = 2985631488. Its totient is φ = 230743040.

The previous prime is 961554977. The next prime is 961555031. The reversal of 961555020 is 20555169.

It is a super-3 number, since 3×9615550203 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397615 + ... + 400025.

It is an arithmetic number, because the mean of its divisors is an integer number (20733552).

Almost surely, 2961555020 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 961555020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492815744).

961555020 is an abundant number, since it is smaller than the sum of its proper divisors (2024076468).

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

961555020 is a wasteful number, since it uses less digits than its factorization.

961555020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The square root of 961555020 is about 31008.9506433223. The cubic root of 961555020 is about 987.0171825511.

The spelling of 961555020 in words is "nine hundred sixty-one million, five hundred fifty-five thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 23 30 34 46 51 60 68 69 85 92 102 115 138 170 204 230 255 276 289 340 345 391 460 510 578 690 782 867 1020 1156 1173 1380 1445 1564 1734 1955 2346 2411 2890 3468 3910 4335 4692 4822 5780 5865 6647 7233 7820 8670 9644 11730 12055 13294 14466 17340 19941 23460 24110 26588 28932 33235 36165 39882 40987 48220 55453 66470 72330 79764 81974 99705 110906 122961 132940 144660 163948 166359 199410 204935 221812 245922 277265 332718 398820 409870 491844 554530 614805 665436 696779 819740 831795 942701 1109060 1229610 1393558 1663590 1885402 2090337 2459220 2787116 2828103 3327180 3483895 3770804 4180674 4713505 5656206 6967790 8361348 9427010 10451685 11312412 13935580 14140515 16025917 18854020 20903370 28281030 32051834 41806740 48077751 56562060 64103668 80129585 96155502 160259170 192311004 240388755 320518340 480777510 961555020