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3620136096 = 253217970223
BaseRepresentation
bin1101011111000110…
…1110010010100000
3100100021220222010200
43113301232102200
524403223323341
61355120025200
7155465435433
oct32761562240
910307828120
103620136096
111598521915
12850462200
13459010485
14264b1181a
15162c3cdb6
hexd7c6e4a0

3620136096 has 72 divisors (see below), whose sum is σ = 10352422080. Its totient is φ = 1199953536.

The previous prime is 3620136089. The next prime is 3620136097. The reversal of 3620136096 is 6906310263.

3620136096 is a `hidden beast` number, since 3 + 6 + 201 + 360 + 96 = 666.

3620136096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3620136096.

It is not an unprimeable number, because it can be changed into a prime (3620136097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16441 + ... + 86663.

It is an arithmetic number, because the mean of its divisors is an integer number (143783640).

Almost surely, 23620136096 is an apocalyptic number.

3620136096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620136096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176211040).

3620136096 is an abundant number, since it is smaller than the sum of its proper divisors (6732285984).

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

3620136096 is a wasteful number, since it uses less digits than its factorization.

3620136096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70418 (or 70407 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3620136096 is about 60167.5668113644. The cubic root of 3620136096 is about 1535.4710499635.

The spelling of 3620136096 in words is "three billion, six hundred twenty million, one hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 179 288 358 537 716 1074 1432 1611 2148 2864 3222 4296 5728 6444 8592 12888 17184 25776 51552 70223 140446 210669 280892 421338 561784 632007 842676 1123568 1264014 1685352 2247136 2528028 3370704 5056056 6741408 10112112 12569917 20224224 25139834 37709751 50279668 75419502 100559336 113129253 150839004 201118672 226258506 301678008 402237344 452517012 603356016 905034024 1206712032 1810068048 3620136096