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140364630 = 23357233229
BaseRepresentation
bin10000101110111…
…00101101010110
3100210010021002000
420113130231112
5241413132010
621532300130
73323036220
oct1027345526
9323107060
10140364630
117226102a
123b011646
13231072c3
14148db410
15c4c97c0
hex85dcb56

140364630 has 128 divisors (see below), whose sum is σ = 446515200. Its totient is φ = 30678912.

The previous prime is 140364629. The next prime is 140364661. The reversal of 140364630 is 36463041.

140364630 is a `hidden beast` number, since 14 + 0 + 3 + 646 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 140364594 and 140364603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41856 + ... + 45084.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2140364630 is an apocalyptic number.

140364630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140364630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223257600).

140364630 is an abundant number, since it is smaller than the sum of its proper divisors (306150570).

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

140364630 is a wasteful number, since it uses less digits than its factorization.

140364630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3269 counting only the distinct ones).

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

The square root of 140364630 is about 11847.5579762245. The cubic root of 140364630 is about 519.6998144148.

The spelling of 140364630 in words is "one hundred forty million, three hundred sixty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1890 2070 2415 2898 3105 3229 4347 4830 6210 6458 7245 8694 9687 14490 16145 19374 21735 22603 29061 32290 43470 45206 48435 58122 67809 74267 87183 96870 113015 135618 145305 148534 174366 203427 222801 226030 290610 339045 371335 406854 435915 445602 519869 610281 668403 678090 742670 871830 1017135 1039738 1114005 1220562 1336806 1559607 2005209 2034270 2228010 2599345 3051405 3119214 3342015 4010418 4678821 5198690 6102810 6684030 7798035 9357642 10026045 14036463 15596070 20052090 23394105 28072926 46788210 70182315 140364630