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66974440 = 2351337592
BaseRepresentation
bin1111111101111…
…1001011101000
311200000122122211
43333133023220
5114121140230
610351254504
71442162521
oct377371350
9150018584
1066974440
1134894985
121a51a434
1310b4c660
148c75848
155d2e42a
hex3fdf2e8

66974440 has 96 divisors (see below), whose sum is σ = 169543080. Its totient is φ = 23652864.

The previous prime is 66974437. The next prime is 66974447. The reversal of 66974440 is 4447966.

66974440 = T279 + T280 + ... + T750.

It can be written as a sum of positive squares in 4 ways, for example, as 55264356 + 11710084 = 7434^2 + 3422^2 .

It is a super-2 number, since 2×669744402 = 8971151226627200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 66974393 and 66974402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66974447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1135131 + ... + 1135189.

Almost surely, 266974440 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 66974440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84771540).

66974440 is an abundant number, since it is smaller than the sum of its proper divisors (102568640).

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

66974440 is a wasteful number, since it uses less digits than its factorization.

66974440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The square root of 66974440 is about 8183.7912974367. The cubic root of 66974440 is about 406.1031551323.

The spelling of 66974440 in words is "sixty-six million, nine hundred seventy-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 59 65 74 104 118 130 148 185 236 260 295 296 370 472 481 520 590 740 767 962 1180 1480 1534 1924 2183 2360 2405 3068 3481 3835 3848 4366 4810 6136 6962 7670 8732 9620 10915 13924 15340 17405 17464 19240 21830 27848 28379 30680 34810 43660 45253 56758 69620 87320 90506 113516 128797 139240 141895 181012 226265 227032 257594 283790 362024 452530 515188 567580 643985 905060 1030376 1135160 1287970 1674361 1810120 2575940 3348722 5151880 6697444 8371805 13394888 16743610 33487220 66974440