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30693760 = 275199241
BaseRepresentation
bin111010100010…
…1100110000000
32010202101220221
41311011212000
530324200020
63013512424
7521615116
oct165054600
963671827
1030693760
1116364749
12a342714
1364889b6
14410dab6
152a646aa
hex1d45980

30693760 has 64 divisors (see below), whose sum is σ = 74052000. Its totient is φ = 12165120.

The previous prime is 30693749. The next prime is 30693763. The reversal of 30693760 is 6739603.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30693763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127240 + ... + 127480.

Almost surely, 230693760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37026000).

30693760 is an abundant number, since it is smaller than the sum of its proper divisors (43358240).

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

30693760 is a wasteful number, since it uses less digits than its factorization.

30693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 34.

The square root of 30693760 is about 5540.1949424185. The cubic root of 30693760 is about 313.1002139070.

The spelling of 30693760 in words is "thirty million, six hundred ninety-three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 199 241 320 398 482 640 796 964 995 1205 1592 1928 1990 2410 3184 3856 3980 4820 6368 7712 7960 9640 12736 15424 15920 19280 25472 30848 31840 38560 47959 63680 77120 95918 127360 154240 191836 239795 383672 479590 767344 959180 1534688 1918360 3069376 3836720 6138752 7673440 15346880 30693760