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1253012064 = 253173124767
BaseRepresentation
bin100101010101111…
…0111001001100000
310020022202121102020
41022223313021200
510031232341224
6324200221440
743023266253
oct11253671140
93208677366
101253012064
11593324567
122ab76a880
1316c795875
14bc5ad09a
157500cc79
hex4aaf7260

1253012064 has 96 divisors (see below), whose sum is σ = 3595124736. Its totient is φ = 380405760.

The previous prime is 1253012063. The next prime is 1253012069. The reversal of 1253012064 is 4602103521.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253012063) 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, 38209 + ... + 62975.

It is an arithmetic number, because the mean of its divisors is an integer number (37449216).

Almost surely, 21253012064 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 1253012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797562368).

1253012064 is an abundant number, since it is smaller than the sum of its proper divisors (2342112672).

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

1253012064 is a wasteful number, since it uses less digits than its factorization.

1253012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24828 (or 24820 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1253012064 is about 35397.9104468046. The cubic root of 1253012064 is about 1078.0818903258.

Adding to 1253012064 its reverse (4602103521), we get a palindrome (5855115585).

The spelling of 1253012064 in words is "one billion, two hundred fifty-three million, twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 68 93 96 102 124 136 186 204 248 272 372 408 496 527 544 744 816 992 1054 1488 1581 1632 2108 2976 3162 4216 6324 8432 12648 16864 24767 25296 49534 50592 74301 99068 148602 198136 297204 396272 421039 594408 767777 792544 842078 1188816 1263117 1535554 1684156 2303331 2377632 2526234 3071108 3368312 4606662 5052468 6142216 6736624 9213324 10104936 12284432 13052209 13473248 18426648 20209872 24568864 26104418 36853296 39156627 40419744 52208836 73706592 78313254 104417672 156626508 208835344 313253016 417670688 626506032 1253012064