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1012253436 = 22354992087
BaseRepresentation
bin111100010101011…
…100001011111100
32121112201210200000
4330111130023330
54033114102221
6244240034300
734041004125
oct7425341374
92545653600
101012253436
1147a432a97
12243002990
1313193a63c
149861b04c
155dd01e26
hex3c55c2fc

1012253436 has 72 divisors (see below), whose sum is σ = 2660112000. Its totient is φ = 336580272.

The previous prime is 1012253399. The next prime is 1012253441. The reversal of 1012253436 is 6343522101.

1012253436 is a `hidden beast` number, since 1 + 0 + 1 + 225 + 3 + 436 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483985 + ... + 486071.

It is an arithmetic number, because the mean of its divisors is an integer number (36946000).

Almost surely, 21012253436 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 1012253436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330056000).

1012253436 is an abundant number, since it is smaller than the sum of its proper divisors (1647858564).

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

1012253436 is a wasteful number, since it uses less digits than its factorization.

1012253436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2605 (or 2591 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1012253436 is about 31815.9305380182. The cubic root of 1012253436 is about 1004.0679083499.

Adding to 1012253436 its reverse (6343522101), we get a palindrome (7355775537).

The spelling of 1012253436 in words is "one billion, twelve million, two hundred fifty-three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 499 972 998 1497 1996 2087 2994 4174 4491 5988 6261 8348 8982 12522 13473 17964 18783 25044 26946 37566 40419 53892 56349 75132 80838 112698 121257 161676 169047 225396 242514 338094 485028 507141 676188 1014282 1041413 2028564 2082826 3124239 4165652 6248478 9372717 12496956 18745434 28118151 37490868 56236302 84354453 112472604 168708906 253063359 337417812 506126718 1012253436