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1630064880 = 243254155219
BaseRepresentation
bin110000100101000…
…1101000011110000
311012121020212122100
41201022031003300
511314244034010
6425425540400
755252215513
oct14112150360
94177225570
101630064880
11767146964
12395aa4700
131cc931442
141166bcd7a
159818c2c0
hex6128d0f0

1630064880 has 120 divisors (see below), whose sum is σ = 5607922320. Its totient is φ = 424074240.

The previous prime is 1630064867. The next prime is 1630064897. The reversal of 1630064880 is 884600361.

It is a happy number.

1630064880 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 0 + 648 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×16300648802 = 5314223026018828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911 + ... + 57129.

It is an arithmetic number, because the mean of its divisors is an integer number (46732686).

Almost surely, 21630064880 is an apocalyptic number.

1630064880 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 1630064880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803961160).

1630064880 is an abundant number, since it is smaller than the sum of its proper divisors (3977857440).

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

1630064880 is a wasteful number, since it uses less digits than its factorization.

1630064880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55279 (or 55270 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1630064880 is about 40374.0619705276. The cubic root of 1630064880 is about 1176.8875363039.

The spelling of 1630064880 in words is "one billion, six hundred thirty million, sixty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 55219 110438 165657 220876 276095 331314 441752 496971 552190 662628 828285 883504 993942 1104380 1325256 1656570 1987884 2208760 2263979 2484855 2650512 3313140 3975768 4417520 4527958 4969710 6626280 6791937 7951536 9055916 9939420 11319895 13252560 13583874 18111832 19878840 20375811 22639790 27167748 33959685 36223664 39757680 40751622 45279580 54335496 67919370 81503244 90559160 101879055 108670992 135838740 163006488 181118320 203758110 271677480 326012976 407516220 543354960 815032440 1630064880