Search a number
-
+
70299072 = 2632312127
BaseRepresentation
bin1000011000010…
…10110111000000
311220021120012100
410030022313000
5120444032242
610550430400
71512350364
oct414126700
9156246170
1070299072
1136755808
121b662400
13117449ac
14949d2a4
15628954c
hex430adc0

70299072 has 126 divisors (see below), whose sum is σ = 209848704. Its totient is φ = 22498560.

The previous prime is 70299071. The next prime is 70299113. The reversal of 70299072 is 27099207.

It is a super-2 number, since 2×702990722 = 9883919048122368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70299071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553473 + ... + 553599.

Almost surely, 270299072 is an apocalyptic number.

70299072 is a gapful number since it is divisible by the number (72) 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 70299072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104924352).

70299072 is an abundant number, since it is smaller than the sum of its proper divisors (139549632).

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

70299072 is a wasteful number, since it uses less digits than its factorization.

70299072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 70299072 is about 8384.4541861710. The cubic root of 70299072 is about 412.7146299033.

The spelling of 70299072 in words is "seventy million, two hundred ninety-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 127 144 186 192 248 254 279 288 372 381 496 508 558 576 744 762 961 992 1016 1116 1143 1488 1524 1922 1984 2032 2232 2286 2883 2976 3048 3844 3937 4064 4464 4572 5766 5952 6096 7688 7874 8128 8649 8928 9144 11532 11811 12192 15376 15748 17298 17856 18288 23064 23622 24384 30752 31496 34596 35433 36576 46128 47244 61504 62992 69192 70866 73152 92256 94488 122047 125984 138384 141732 184512 188976 244094 251968 276768 283464 366141 377952 488188 553536 566928 732282 755904 976376 1098423 1133856 1464564 1952752 2196846 2267712 2929128 3905504 4393692 5858256 7811008 8787384 11716512 17574768 23433024 35149536 70299072