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189995040 = 25325131941
BaseRepresentation
bin10110101001100…
…01100000100000
3111020111202012100
423110301200200
5342114320130
630504130400
74464634254
oct1324614040
9436452170
10189995040
119827a0a4
1253766a00
1330493401
141b33a264
1511a2ec60
hexb531820

189995040 has 72 divisors (see below), whose sum is σ = 648362988. Its totient is φ = 50664960.

The previous prime is 189995023. The next prime is 189995081. The reversal of 189995040 is 40599981.

It can be written as a sum of positive squares in 2 ways, for example, as 184851216 + 5143824 = 13596^2 + 2268^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64531 + ... + 67410.

Almost surely, 2189995040 is an apocalyptic number.

189995040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

189995040 is an abundant number, since it is smaller than the sum of its proper divisors (458367948).

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

189995040 is a wasteful number, since it uses less digits than its factorization.

189995040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131962 (or 131951 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 189995040 is about 13783.8688328060. The cubic root of 189995040 is about 574.8847053019.

The spelling of 189995040 in words is "one hundred eighty-nine million, nine hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 131941 263882 395823 527764 659705 791646 1055528 1187469 1319410 1583292 1979115 2111056 2374938 2638820 3166584 3958230 4222112 4749876 5277640 5937345 6333168 7916460 9499752 10555280 11874690 12666336 15832920 18999504 21110560 23749380 31665840 37999008 47498760 63331680 94997520 189995040