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190274436 = 2232114192
BaseRepresentation
bin10110101011101…
…01101110000100
3111021000221110100
423111311232010
5342202240221
630514124100
74500206652
oct1325655604
9437027410
10190274436
1198450000
1253880630
1330560631
141b3addd2
1511a87926
hexb575b84

190274436 has 135 divisors (see below), whose sum is σ = 558376455. Its totient is φ = 54624240.

The previous prime is 190274431. The next prime is 190274443. The reversal of 190274436 is 634472091.

The square root of 190274436 is 13794.

It is a perfect power (a square), and thus also a powerful number.

190274436 is a `hidden beast` number, since 190 + 27 + 443 + 6 = 666.

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 190274436.

It is not an unprimeable number, because it can be changed into a prime (190274431) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10014435 + ... + 10014453.

Almost surely, 2190274436 is an apocalyptic number.

190274436 is the 13794-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190274436

190274436 is an abundant number, since it is smaller than the sum of its proper divisors (368102019).

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

190274436 is a wasteful number, since it uses less digits than its factorization.

190274436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The cubic root of 190274436 is about 575.1663649674.

Multiplying 190274436 by its sum of digits (36), we get a square (6849879696 = 827642).

190274436 divided by its sum of digits (36) gives a square (5285401 = 22992).

The spelling of 190274436 in words is "one hundred ninety million, two hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 121 132 171 198 209 228 242 342 361 363 396 418 484 627 684 722 726 836 1083 1089 1254 1331 1444 1452 1881 2166 2178 2299 2508 2662 3249 3762 3971 3993 4332 4356 4598 5324 6498 6897 7524 7942 7986 9196 11913 11979 12996 13794 14641 15884 15972 20691 23826 23958 25289 27588 29282 35739 41382 43681 43923 47652 47916 50578 58564 71478 75867 82764 87362 87846 101156 131043 131769 142956 151734 174724 175692 227601 262086 263538 278179 303468 393129 455202 480491 524172 527076 556358 786258 834537 910404 960982 1112716 1441473 1572516 1669074 1921964 2503611 2882946 3338148 4324419 5007222 5285401 5765892 8648838 10014444 10570802 15856203 17297676 21141604 31712406 47568609 63424812 95137218 190274436