Search a number
-
+
100406761 = 7131103371
BaseRepresentation
bin1011111110000…
…01010111101001
320222221012011221
411333001113221
5201201004021
613544022041
72326305040
oct577012751
9228835157
10100406761
115174a0a4
1229761921
1317a569b0
14d499557
158c35241
hex5fc15e9

100406761 has 8 divisors (see below), whose sum is σ = 123577664. Its totient is φ = 79442640.

The previous prime is 100406759. The next prime is 100406771. The reversal of 100406761 is 167604001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100406761 - 21 = 100406759 is a prime.

It is a super-2 number, since 2×1004067612 = 20163035309022242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100406741) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551595 + ... + 551776.

It is an arithmetic number, because the mean of its divisors is an integer number (15447208).

Almost surely, 2100406761 is an apocalyptic number.

It is an amenable number.

100406761 is a deficient number, since it is larger than the sum of its proper divisors (23170903).

100406761 is a wasteful number, since it uses less digits than its factorization.

100406761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103391.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 100406761 is about 10020.3174101423. The cubic root of 100406761 is about 464.7873710875.

The spelling of 100406761 in words is "one hundred million, four hundred six thousand, seven hundred sixty-one".

Divisors: 1 7 13 91 1103371 7723597 14343823 100406761