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1990152 = 2332131211
BaseRepresentation
bin111100101111000001000
310202002222100
413211320020
51002141102
6110353400
722626123
oct7457010
93662870
101990152
11113a25a
127bb860
13548b08
1439b3ba
15294a1c
hex1e5e08

1990152 has 48 divisors (see below), whose sum is σ = 5456880. Its totient is φ = 655200.

The previous prime is 1990151. The next prime is 1990159. The reversal of 1990152 is 2510991.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1990151) 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, 9327 + ... + 9537.

It is an arithmetic number, because the mean of its divisors is an integer number (113685).

21990152 is an apocalyptic number.

1990152 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 1990152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2728440).

1990152 is an abundant number, since it is smaller than the sum of its proper divisors (3466728).

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

1990152 is a wasteful number, since it uses less digits than its factorization.

1990152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 1990152 is about 1410.7274719094. The cubic root of 1990152 is about 125.7849695967.

The spelling of 1990152 in words is "one million, nine hundred ninety thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 211 262 393 422 524 633 786 844 1048 1179 1266 1572 1688 1899 2358 2532 3144 3798 4716 5064 7596 9432 15192 27641 55282 82923 110564 165846 221128 248769 331692 497538 663384 995076 1990152