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10972434 = 2311832003
BaseRepresentation
bin101001110110…
…110100010010
3202122110100110
4221312310102
510302104214
61031102150
7162156414
oct51666422
922573313
1010972434
116214830
123811956
132372385
1416589b4
15e6b159
hexa76d12

10972434 has 32 divisors (see below), whose sum is σ = 24240384. Its totient is φ = 3283280.

The previous prime is 10972433. The next prime is 10972477. The reversal of 10972434 is 43427901.

It is a happy number.

10972434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10972433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4477 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (757512).

Almost surely, 210972434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10972434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120192).

10972434 is an abundant number, since it is smaller than the sum of its proper divisors (13267950).

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

10972434 is a wasteful number, since it uses less digits than its factorization.

10972434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 10972434 is about 3312.4664526603. The cubic root of 10972434 is about 222.2120771850.

The spelling of 10972434 in words is "ten million, nine hundred seventy-two thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2003 2739 4006 5478 6009 12018 22033 44066 66099 132198 166249 332498 498747 997494 1828739 3657478 5486217 10972434