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66870272 = 210719491
BaseRepresentation
bin1111111100010…
…1110000000000
311122211100202202
43333011300000
5114104322042
610345132332
71441250030
oct377056000
9148740682
1066870272
1134823697
121a48a0a8
1310b14111
148c498c0
155d0d632
hex3fc5c00

66870272 has 88 divisors (see below), whose sum is σ = 161139840. Its totient is φ = 27095040.

The previous prime is 66870247. The next prime is 66870277. The reversal of 66870272 is 27207866.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66870277) 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, 135947 + ... + 136437.

Almost surely, 266870272 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 66870272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80569920).

66870272 is an abundant number, since it is smaller than the sum of its proper divisors (94269568).

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

66870272 is a wasteful number, since it uses less digits than its factorization.

66870272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The square root of 66870272 is about 8177.4245334335. The cubic root of 66870272 is about 405.8925031072.

The spelling of 66870272 in words is "sixty-six million, eight hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 256 266 304 448 491 512 532 608 896 982 1024 1064 1216 1792 1964 2128 2432 3437 3584 3928 4256 4864 6874 7168 7856 8512 9329 9728 13748 15712 17024 18658 19456 27496 31424 34048 37316 54992 62848 65303 68096 74632 109984 125696 130606 136192 149264 219968 251392 261212 298528 439936 502784 522424 597056 879872 1044848 1194112 1759744 2089696 2388224 3519488 4179392 4776448 8358784 9552896 16717568 33435136 66870272