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190900728 = 233231389
BaseRepresentation
bin10110110000011…
…10100111111000
3111022012202120100
423120032213320
5342332310403
630535355400
74505425614
oct1330164770
9438182510
10190900728
11988385a7
1253b22b60
133071c715
141b4d4344
1511b5d2a3
hexb60e9f8

190900728 has 96 divisors (see below), whose sum is σ = 540259200. Its totient is φ = 60888960.

The previous prime is 190900709. The next prime is 190900729. The reversal of 190900728 is 827009091.

It is a happy number.

190900728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 190900692 and 190900701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190900729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2144908 + ... + 2144996.

It is an arithmetic number, because the mean of its divisors is an integer number (5627700).

Almost surely, 2190900728 is an apocalyptic number.

190900728 is a gapful number since it is divisible by the number (18) 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 190900728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270129600).

190900728 is an abundant number, since it is smaller than the sum of its proper divisors (349358472).

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

190900728 is an equidigital number, since it uses as much as digits as its factorization.

190900728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 190900728 is about 13816.6829593792. The cubic root of 190900728 is about 575.7967309373.

The spelling of 190900728 in words is "one hundred ninety million, nine hundred thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 89 93 124 178 186 248 267 279 356 372 534 558 712 744 801 961 1068 1116 1602 1922 2136 2232 2759 2883 3204 3844 5518 5766 6408 7688 8277 8649 11036 11532 16554 17298 22072 23064 24831 29791 33108 34596 49662 59582 66216 69192 85529 89373 99324 119164 171058 178746 198648 238328 256587 268119 342116 357492 513174 536238 684232 714984 769761 1026348 1072476 1539522 2052696 2144952 2651399 3079044 5302798 6158088 7954197 10605596 15908394 21211192 23862591 31816788 47725182 63633576 95450364 190900728