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104336640 = 283353019
BaseRepresentation
bin1100011100000…
…00110100000000
321021022211222000
412032000310000
5203202233030
614204144000
72404563312
oct616006400
9237284860
10104336640
1153993731
122ab38000
1318801675
14dbdd7b2
15925e860
hex6380d00

104336640 has 144 divisors (see below), whose sum is σ = 370372800. Its totient is φ = 27813888.

The previous prime is 104336611. The next prime is 104336641. The reversal of 104336640 is 46633401.

104336640 is a `hidden beast` number, since 10 + 4 + 3 + 3 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1043366402 = 21772268892979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104336641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33051 + ... + 36069.

Almost surely, 2104336640 is an apocalyptic number.

104336640 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 104336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185186400).

104336640 is an abundant number, since it is smaller than the sum of its proper divisors (266036160).

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

104336640 is an equidigital number, since it uses as much as digits as its factorization.

104336640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 104336640 is about 10214.5308262299. The cubic root of 104336640 is about 470.7737970160.

It can be divided in two parts, 104336 and 640, that added together give a 4-th power (104976 = 184).

The spelling of 104336640 in words is "one hundred four million, three hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3019 3456 3840 4320 5760 6038 6912 8640 9057 11520 12076 15095 17280 18114 24152 27171 30190 34560 36228 45285 48304 54342 60380 72456 81513 90570 96608 108684 120760 135855 144912 163026 181140 193216 217368 241520 271710 289824 326052 362280 386432 407565 434736 483040 543420 579648 652104 724560 772864 815130 869472 966080 1086840 1159296 1304208 1449120 1630260 1738944 1932160 2173680 2318592 2608416 2898240 3260520 3477888 3864320 4347360 5216832 5796480 6521040 6955776 8694720 10433664 11592960 13042080 17389440 20867328 26084160 34778880 52168320 104336640