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140072634 = 23213718431
BaseRepresentation
bin10000101100101…
…01011010111010
3100202120102112100
420112111122322
5241324311014
621522124230
73320412012
oct1026253272
9322512470
10140072634
1172081709
123aab0676
1323034420
1414862c42
15c46d009
hex85956ba

140072634 has 48 divisors (see below), whose sum is σ = 331478784. Its totient is φ = 42487200.

The previous prime is 140072633. The next prime is 140072641. The reversal of 140072634 is 436270041.

140072634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 140072598 and 140072607.

It is not an unprimeable number, because it can be changed into a prime (140072633) 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, 12399 + ... + 20829.

It is an arithmetic number, because the mean of its divisors is an integer number (6905808).

Almost surely, 2140072634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140072634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165739392).

140072634 is an abundant number, since it is smaller than the sum of its proper divisors (191406150).

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

140072634 is a wasteful number, since it uses less digits than its factorization.

140072634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8523 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 140072634 is about 11835.2285149041. The cubic root of 140072634 is about 519.3391926640.

It can be divided in two parts, 14007 and 2634, that added together give a square (16641 = 1292).

The spelling of 140072634 in words is "one hundred forty million, seventy-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 71 78 117 142 213 234 426 639 923 1278 1846 2769 5538 8307 8431 16614 16862 25293 50586 75879 109603 151758 219206 328809 598601 657618 986427 1197202 1795803 1972854 3591606 5387409 7781813 10774818 15563626 23345439 46690878 70036317 140072634