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140521320 = 233251722961
BaseRepresentation
bin10000110000000…
…10111101101000
3100210102020000100
420120002331220
5241433140240
621535505400
73324261102
oct1030027550
9323366010
10140521320
1172358825
123b088260
1323160714
141493c572
15c50ae30
hex8602f68

140521320 has 96 divisors (see below), whose sum is σ = 483579720. Its totient is φ = 35266560.

The previous prime is 140521313. The next prime is 140521331. The reversal of 140521320 is 23125041.

140521320 is a `hidden beast` number, since 140 + 521 + 3 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133957476 + 6563844 = 11574^2 + 2562^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140521293 and 140521302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5361 + ... + 17600.

Almost surely, 2140521320 is an apocalyptic number.

140521320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140521320 is an abundant number, since it is smaller than the sum of its proper divisors (343058400).

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

140521320 is a wasteful number, since it uses less digits than its factorization.

140521320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22995 (or 22988 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 140521320 is about 11854.1688869359. The cubic root of 140521320 is about 519.8931239918.

Adding to 140521320 its reverse (23125041), we get a palindrome (163646361).

The spelling of 140521320 in words is "one hundred forty million, five hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 22961 45922 68883 91844 114805 137766 183688 206649 229610 275532 344415 390337 413298 459220 551064 688830 780674 826596 918440 1033245 1171011 1377660 1561348 1653192 1951685 2066490 2342022 2755320 3122696 3513033 3903370 4132980 4684044 5855055 7026066 7806740 8265960 9368088 11710110 14052132 15613480 17565165 23420220 28104264 35130330 46840440 70260660 140521320