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1253099424 = 25337587601
BaseRepresentation
bin100101010110000…
…1100011110100000
310020022221001020210
41022230030132200
510031243140144
6324202134120
743024112043
oct11254143640
93208831223
101253099424
11593384165
122ab7b1340
1316c7c6565
14bc5d2c5a
1575028ab9
hex4ab0c7a0

1253099424 has 96 divisors (see below), whose sum is σ = 3389674176. Its totient is φ = 405043200.

The previous prime is 1253099423. The next prime is 1253099429. The reversal of 1253099424 is 4249903521.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1253099423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2084724 + ... + 2085324.

It is an arithmetic number, because the mean of its divisors is an integer number (35309106).

Almost surely, 21253099424 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 1253099424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694837088).

1253099424 is an abundant number, since it is smaller than the sum of its proper divisors (2136574752).

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

1253099424 is a wasteful number, since it uses less digits than its factorization.

1253099424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 1253099424 is about 35399.1443964399. The cubic root of 1253099424 is about 1078.1069443664.

The spelling of 1253099424 in words is "one billion, two hundred fifty-three million, ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 587 592 601 888 1174 1184 1202 1761 1776 1803 2348 2404 3522 3552 3606 4696 4808 7044 7212 9392 9616 14088 14424 18784 19232 21719 22237 28176 28848 43438 44474 56352 57696 65157 66711 86876 88948 130314 133422 173752 177896 260628 266844 347504 352787 355792 521256 533688 695008 705574 711584 1042512 1058361 1067376 1411148 2085024 2116722 2134752 2822296 4233444 5644592 8466888 11289184 13053119 16933776 26106238 33867552 39159357 52212476 78318714 104424952 156637428 208849904 313274856 417699808 626549712 1253099424