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190371240 = 23325618669
BaseRepresentation
bin10110101100011…
…01010110101000
3111021012212020200
423112031112220
5342213334430
630520152200
74501062123
oct1326152650
9437185220
10190371240
1198506804
1253908660
1330595707
141b3d73ba
1511aa6460
hexb58d5a8

190371240 has 96 divisors (see below), whose sum is σ = 628921800. Its totient is φ = 49927680.

The previous prime is 190371239. The next prime is 190371281. The reversal of 190371240 is 42173091.

190371240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 93663684 + 96707556 = 9678^2 + 9834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17626 + ... + 26294.

Almost surely, 2190371240 is an apocalyptic number.

190371240 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 190371240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314460900).

190371240 is an abundant number, since it is smaller than the sum of its proper divisors (438550560).

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

190371240 is a wasteful number, since it uses less digits than its factorization.

190371240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8747 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 190371240 is about 13797.5084707349. The cubic root of 190371240 is about 575.2638889549.

The spelling of 190371240 in words is "one hundred ninety million, three hundred seventy-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 8669 10980 17338 21960 26007 34676 43345 52014 69352 78021 86690 104028 130035 156042 173380 208056 260070 312084 346760 390105 520140 528809 624168 780210 1040280 1057618 1560420 1586427 2115236 2644045 3120840 3172854 4230472 4759281 5288090 6345708 7932135 9518562 10576180 12691416 15864270 19037124 21152360 23796405 31728540 38074248 47592810 63457080 95185620 190371240