Search a number
-
+
10153904 = 2419127263
BaseRepresentation
bin100110101110…
…111110110000
3201002212112112
4212232332300
510044411104
61001344452
7152210135
oct46567660
921085475
1010153904
115805862
123498128
132146937
1414c458c
15d5886e
hex9aefb0

10153904 has 40 divisors (see below), whose sum is σ = 20951040. Its totient is φ = 4753728.

The previous prime is 10153901. The next prime is 10153909. The reversal of 10153904 is 40935101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10153904.

It is not an unprimeable number, because it can be changed into a prime (10153901) 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, 38477 + ... + 38739.

It is an arithmetic number, because the mean of its divisors is an integer number (523776).

Almost surely, 210153904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10153904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475520).

10153904 is an abundant number, since it is smaller than the sum of its proper divisors (10797136).

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

10153904 is a wasteful number, since it uses less digits than its factorization.

10153904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10153904 is about 3186.5191039754. The cubic root of 10153904 is about 216.5431006147.

The spelling of 10153904 in words is "ten million, one hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 38 76 127 152 254 263 304 508 526 1016 1052 2032 2104 2413 4208 4826 4997 9652 9994 19304 19988 33401 38608 39976 66802 79952 133604 267208 534416 634619 1269238 2538476 5076952 10153904