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190242036 = 2232171372269
BaseRepresentation
bin10110101011011…
…01110011110100
3111020222022000100
423111231303310
5342200221121
630513314100
74500013335
oct1325556364
9436868010
10190242036
1198428726
1253865930
133054b96a
141b3a228c
1511a7d026
hexb56dcf4

190242036 has 72 divisors (see below), whose sum is σ = 513119880. Its totient is φ = 59222016.

The previous prime is 190242029. The next prime is 190242037. The reversal of 190242036 is 630242091.

It can be written as a sum of positive squares in 4 ways, for example, as 16160400 + 174081636 = 4020^2 + 13194^2 .

It is a super-2 number, since 2×1902420362 = 72384064522850592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190242037) by changing a digit.

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, 82710 + ... + 84978.

It is an arithmetic number, because the mean of its divisors is an integer number (7126665).

Almost surely, 2190242036 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 190242036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256559940).

190242036 is an abundant number, since it is smaller than the sum of its proper divisors (322877844).

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

190242036 is a wasteful number, since it uses less digits than its factorization.

190242036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 190242036 is about 13792.8255263380. The cubic root of 190242036 is about 575.1337166018.

The spelling of 190242036 in words is "one hundred ninety million, two hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 137 153 204 274 306 411 548 612 822 1233 1644 2269 2329 2466 4538 4658 4932 6807 6987 9076 9316 13614 13974 20421 20961 27228 27948 38573 40842 41922 77146 81684 83844 115719 154292 231438 310853 347157 462876 621706 694314 932559 1243412 1388628 1865118 2797677 3730236 5284501 5595354 10569002 11190708 15853503 21138004 31707006 47560509 63414012 95121018 190242036