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193900356 = 2232134091013
BaseRepresentation
bin10111000111010…
…10111101000100
3111111212011021200
423203222331010
5344114302411
631123542500
74543061106
oct1343527504
9444764250
10193900356
119a4a7231
1254b2aa30
133122cb50
141ba75576
1512051e56
hexb8eaf44

193900356 has 72 divisors (see below), whose sum is σ = 529652760. Its totient is φ = 59457024.

The previous prime is 193900331. The next prime is 193900379. The reversal of 193900356 is 653009391.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 192932100 = 984^2 + 13890^2 .

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 193900356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190906 + ... + 191918.

Almost surely, 2193900356 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 193900356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264826380).

193900356 is an abundant number, since it is smaller than the sum of its proper divisors (335752404).

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

193900356 is a wasteful number, since it uses less digits than its factorization.

193900356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1440 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 193900356 is about 13924.8108066142. The cubic root of 193900356 is about 578.7969076607.

The spelling of 193900356 in words is "one hundred ninety-three million, nine hundred thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 409 468 818 1013 1227 1636 2026 2454 3039 3681 4052 4908 5317 6078 7362 9117 10634 12156 13169 14724 15951 18234 21268 26338 31902 36468 39507 47853 52676 63804 79014 95706 118521 158028 191412 237042 414317 474084 828634 1242951 1657268 2485902 3728853 4971804 5386121 7457706 10772242 14915412 16158363 21544484 32316726 48475089 64633452 96950178 193900356