Search a number
-
+
69913984 = 277271157
BaseRepresentation
bin1000010101011…
…00110110000000
311212112222221211
410022230312000
5120344221414
610534255504
71506154600
oct412546600
9155488854
1069913984
1136512458
121b4b7594
131163b62a
1493dcc00
1562103c4
hex42acd80

69913984 has 96 divisors (see below), whose sum is σ = 165350160. Its totient is φ = 29352960.

The previous prime is 69913937. The next prime is 69913993. The reversal of 69913984 is 48931996.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 445234 + ... + 445390.

Almost surely, 269913984 is an apocalyptic number.

69913984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82675080).

69913984 is an abundant number, since it is smaller than the sum of its proper divisors (95436176).

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

69913984 is a wasteful number, since it uses less digits than its factorization.

69913984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 69913984 is about 8361.4582460238. The cubic root of 69913984 is about 411.9596529440.

The spelling of 69913984 in words is "sixty-nine million, nine hundred thirteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 71 98 112 128 142 157 196 224 284 314 392 448 497 568 628 784 896 994 1099 1136 1256 1568 1988 2198 2272 2512 3136 3479 3976 4396 4544 5024 6272 6958 7693 7952 8792 9088 10048 11147 13916 15386 15904 17584 20096 22294 27832 30772 31808 35168 44588 55664 61544 63616 70336 78029 89176 111328 123088 140672 156058 178352 222656 246176 312116 356704 445312 492352 546203 624232 713408 984704 1092406 1248464 1426816 2184812 2496928 4369624 4993856 8739248 9987712 17478496 34956992 69913984