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66690432 = 273323839
BaseRepresentation
bin1111111001100…
…1110110000000
311122111020002000
43332121312000
5114033043212
610341224000
71436600514
oct376316600
9148436060
1066690432
1134710566
121a402000
1310a802c3
148c00144
155cc51dc
hex3f99d80

66690432 has 128 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 21238272.

The previous prime is 66690427. The next prime is 66690461. The reversal of 66690432 is 23409666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×666904322 = 8895227440693248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79069 + ... + 79907.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 266690432 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 66690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

66690432 is an abundant number, since it is smaller than the sum of its proper divisors (138941568).

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

66690432 is a wasteful number, since it uses less digits than its factorization.

66690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 66690432 is about 8166.4210031078. The cubic root of 66690432 is about 405.5283091667.

The spelling of 66690432 in words is "sixty-six million, six hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 839 864 1104 1152 1242 1472 1656 1678 1728 2208 2484 2517 2944 3312 3356 3456 4416 4968 5034 6624 6712 7551 8832 9936 10068 13248 13424 15102 19297 19872 20136 22653 26496 26848 30204 38594 39744 40272 45306 53696 57891 60408 77188 79488 80544 90612 107392 115782 120816 154376 161088 173673 181224 231564 241632 308752 322176 347346 362448 463128 483264 521019 617504 694692 724896 926256 966528 1042038 1235008 1389384 1449792 1852512 2084076 2470016 2778768 2899584 3705024 4168152 5557536 7410048 8336304 11115072 16672608 22230144 33345216 66690432