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190935540 = 223253728669
BaseRepresentation
bin10110110000101…
…11000111110100
3111022021112022200
423120113013310
5342334414130
630540224500
74505632245
oct1330270764
9438245280
10190935540
1198861774
1253b3b130
1330732513
141b502ccc
1511b68760
hexb6171f4

190935540 has 72 divisors (see below), whose sum is σ = 594845160. Its totient is φ = 49538304.

The previous prime is 190935539. The next prime is 190935553. The reversal of 190935540 is 45539091.

190935540 is a `hidden beast` number, since 19 + 0 + 93 + 554 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 82192356 + 108743184 = 9066^2 + 10428^2 .

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 = 190935495 and 190935504.

It is a congruent number.

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, 7675 + ... + 20994.

Almost surely, 2190935540 is an apocalyptic number.

190935540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

190935540 is an abundant number, since it is smaller than the sum of its proper divisors (403909620).

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

190935540 is a wasteful number, since it uses less digits than its factorization.

190935540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28721 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 190935540 is about 13817.9426833375. The cubic root of 190935540 is about 575.8317289137.

The spelling of 190935540 in words is "one hundred ninety million, nine hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 28669 57338 86007 114676 143345 172014 258021 286690 344028 430035 516042 573380 860070 1032084 1060753 1290105 1720140 2121506 2580210 3182259 4243012 5160420 5303765 6364518 9546777 10607530 12729036 15911295 19093554 21215060 31822590 38187108 47733885 63645180 95467770 190935540