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190498120 = 23561101773
BaseRepresentation
bin10110101101011…
…00010101001000
3111021110022021221
423112230111020
5342231414440
630523011424
74502131051
oct1326542510
9437408257
10190498120
119859306a
1253969b74
133060b3a7
141b42b728
1511acdd4a
hexb5ac548

190498120 has 64 divisors (see below), whose sum is σ = 440529840. Its totient is φ = 74112000.

The previous prime is 190498111. The next prime is 190498153. The reversal of 190498120 is 21894091.

It can be written as a sum of positive squares in 8 ways, for example, as 34597924 + 155900196 = 5882^2 + 12486^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246054 + ... + 246826.

Almost surely, 2190498120 is an apocalyptic number.

190498120 is a gapful number since it is divisible by the number (10) 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 190498120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220264920).

190498120 is an abundant number, since it is smaller than the sum of its proper divisors (250031720).

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

190498120 is a wasteful number, since it uses less digits than its factorization.

190498120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 190498120 is about 13802.1056364600. The cubic root of 190498120 is about 575.3916625841.

The spelling of 190498120 in words is "one hundred ninety million, four hundred ninety-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 101 122 202 244 305 404 488 505 610 773 808 1010 1220 1546 2020 2440 3092 3865 4040 6161 6184 7730 12322 15460 24644 30805 30920 47153 49288 61610 78073 94306 123220 156146 188612 235765 246440 312292 377224 390365 471530 624584 780730 943060 1561460 1886120 3122920 4762453 9524906 19049812 23812265 38099624 47624530 95249060 190498120