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190296972 = 223331113503
BaseRepresentation
bin10110101011110…
…11001110001100
3111021002002101000
423111323032030
5342204000342
630514420300
74500332445
oct1325731614
9437062330
10190296972
1198465a28
1253891690
133056a978
141b3b82cc
1511a8e44c
hexb57b38c

190296972 has 96 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 60721920.

The previous prime is 190296971. The next prime is 190296983. The reversal of 190296972 is 279692091.

It is not an unprimeable number, because it can be changed into a prime (190296971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378073 + ... + 378575.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2190296972 is an apocalyptic number.

190296972 is a gapful number since it is divisible by the number (12) 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 190296972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

190296972 is an abundant number, since it is smaller than the sum of its proper divisors (324508788).

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

190296972 is a wasteful number, since it uses less digits than its factorization.

190296972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 190296972 is about 13794.8168527168. The cubic root of 190296972 is about 575.1890715341.

The spelling of 190296972 in words is "one hundred ninety million, two hundred ninety-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 113 124 186 226 279 339 372 452 503 558 678 837 1006 1017 1116 1356 1509 1674 2012 2034 3018 3051 3348 3503 4068 4527 6036 6102 7006 9054 10509 12204 13581 14012 15593 18108 21018 27162 31186 31527 42036 46779 54324 56839 62372 63054 93558 94581 113678 126108 140337 170517 187116 189162 227356 280674 341034 378324 421011 511551 561348 682068 842022 1023102 1534653 1684044 1762009 2046204 3069306 3524018 5286027 6138612 7048036 10572054 15858081 21144108 31716162 47574243 63432324 95148486 190296972