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1630855680 = 29351311621
BaseRepresentation
bin110000100110100…
…1110001000000000
311012122202001102020
41201031032020000
511314444340210
6425454521440
755262021166
oct14115161000
94178661366
101630855680
11767637013
12396206280
131ccb4a37c
14116847236
1598296770
hex6134e200

1630855680 has 160 divisors (see below), whose sum is σ = 5256681408. Its totient is φ = 431308800.

The previous prime is 1630855651. The next prime is 1630855691. The reversal of 1630855680 is 865580361.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005270 + ... + 1006890.

Almost surely, 21630855680 is an apocalyptic number.

1630855680 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 1630855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2628340704).

1630855680 is an abundant number, since it is smaller than the sum of its proper divisors (3625825728).

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

1630855680 is a wasteful number, since it uses less digits than its factorization.

1630855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1630855680 is about 40383.8541994198. The cubic root of 1630855680 is about 1177.0778216138.

The spelling of 1630855680 in words is "one billion, six hundred thirty million, eight hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 256 262 320 384 393 480 512 524 640 655 768 786 960 1048 1280 1310 1536 1572 1621 1920 1965 2096 2560 2620 3144 3242 3840 3930 4192 4863 5240 6288 6484 7680 7860 8105 8384 9726 10480 12576 12968 15720 16210 16768 19452 20960 24315 25152 25936 31440 32420 33536 38904 41920 48630 50304 51872 62880 64840 67072 77808 83840 97260 100608 103744 125760 129680 155616 167680 194520 201216 207488 212351 251520 259360 311232 335360 389040 414976 424702 503040 518720 622464 637053 778080 829952 849404 1006080 1037440 1061755 1244928 1274106 1556160 1698808 2074880 2123510 2489856 2548212 3112320 3185265 3397616 4149760 4247020 5096424 6224640 6370530 6795232 8494040 10192848 12449280 12741060 13590464 16988080 20385696 25482120 27180928 33976160 40771392 50964240 54361856 67952320 81542784 101928480 108723712 135904640 163085568 203856960 271809280 326171136 407713920 543618560 815427840 1630855680