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122006640 = 2435772623
BaseRepresentation
bin1110100010110…
…10110001110000
322111120120122110
413101122301300
5222213203030
620035005320
73011016330
oct721326160
9274516573
10122006640
1162962438
1234a39840
131c37a3a2
14122bd0c0
15aaa01b0
hex745ac70

122006640 has 80 divisors (see below), whose sum is σ = 432258048. Its totient is φ = 27886848.

The previous prime is 122006623. The next prime is 122006659. The reversal of 122006640 is 46600221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 15 ways as a sum of consecutive naturals, for example, 34632 + ... + 37991.

Almost surely, 2122006640 is an apocalyptic number.

122006640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122006640 is an abundant number, since it is smaller than the sum of its proper divisors (310251408).

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

122006640 is a wasteful number, since it uses less digits than its factorization.

122006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72646 (or 72640 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 122006640 is about 11045.6615917744. The cubic root of 122006640 is about 495.9765641025.

Adding to 122006640 its reverse (46600221), we get a palindrome (168606861).

The spelling of 122006640 in words is "one hundred twenty-two million, six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 72623 145246 217869 290492 363115 435738 508361 580984 726230 871476 1016722 1089345 1161968 1452460 1525083 1742952 2033444 2178690 2541805 2904920 3050166 3485904 4066888 4357380 5083610 5809840 6100332 7625415 8133776 8714760 10167220 12200664 15250830 17429520 20334440 24401328 30501660 40668880 61003320 122006640