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69964272 = 24327312239
BaseRepresentation
bin1000010101110…
…01000111110000
311212122112221100
410022321013300
5120402324042
610535324400
71506454320
oct412710760
9155575840
1069964272
1136547214
121b520700
13116584a1
149413280
15622024c
hex42b91f0

69964272 has 120 divisors (see below), whose sum is σ = 231096320. Its totient is φ = 19336320.

The previous prime is 69964267. The next prime is 69964277. The reversal of 69964272 is 27246996.

It is an interprime number because it is at equal distance from previous prime (69964267) and next prime (69964277).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69964277) 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, 30129 + ... + 32367.

Almost surely, 269964272 is an apocalyptic number.

69964272 is a gapful number since it is divisible by the number (62) 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 69964272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115548160).

69964272 is an abundant number, since it is smaller than the sum of its proper divisors (161132048).

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

69964272 is a wasteful number, since it uses less digits than its factorization.

69964272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2282 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 69964272 is about 8364.4648364375. The cubic root of 69964272 is about 412.0584012477.

The spelling of 69964272 in words is "sixty-nine million, nine hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 1008 1116 1302 1488 1736 1953 2232 2239 2604 3472 3906 4464 4478 5208 6717 7812 8956 10416 13434 15624 15673 17912 20151 26868 31248 31346 35824 40302 47019 53736 62692 69409 80604 94038 107472 125384 138818 141057 161208 188076 208227 250768 277636 282114 322416 376152 416454 485863 555272 564228 624681 752304 832908 971726 1110544 1128456 1249362 1457589 1665816 1943452 2256912 2498724 2915178 3331632 3886904 4372767 4997448 5830356 7773808 8745534 9994896 11660712 17491068 23321424 34982136 69964272