Search a number
-
+
66969504 = 253473691
BaseRepresentation
bin1111111101110…
…1111110100000
311200000101220000
43333131332200
5114121011004
610351220000
71442142240
oct377357640
9150011800
1066969504
11348911a8
121a517600
1310b4a334
148c73b20
155d2cc39
hex3fddfa0

66969504 has 120 divisors (see below), whose sum is σ = 225152928. Its totient is φ = 19128960.

The previous prime is 66969503. The next prime is 66969541. The reversal of 66969504 is 40596966.

It is a self number, because there is not a number n which added to its sum of digits gives 66969504.

It is not an unprimeable number, because it can be changed into a prime (66969503) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16299 + ... + 19989.

Almost surely, 266969504 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 66969504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112576464).

66969504 is an abundant number, since it is smaller than the sum of its proper divisors (158183424).

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

66969504 is a wasteful number, since it uses less digits than its factorization.

66969504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 66969504 is about 8183.4897201622. The cubic root of 66969504 is about 406.0931783192.

The spelling of 66969504 in words is "sixty-six million, nine hundred sixty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 3691 4536 6048 7382 9072 11073 14764 18144 22146 25837 29528 33219 44292 51674 59056 66438 77511 88584 99657 103348 118112 132876 155022 177168 199314 206696 232533 265752 298971 310044 354336 398628 413392 465066 531504 597942 620088 697599 797256 826784 930132 1063008 1195884 1240176 1395198 1594512 1860264 2092797 2391768 2480352 2790396 3189024 3720528 4185594 4783536 5580792 7441056 8371188 9567072 11161584 16742376 22323168 33484752 66969504