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194999040 = 2832516927
BaseRepresentation
bin10111001111101…
…11001100000000
3111120220222101200
423213313030000
5344404432130
631203301200
74555315215
oct1347671400
9446828350
10194999040
11a0087735
125537a800
1331525c62
141bc7db0c
15121bc760
hexb9f7300

194999040 has 108 divisors (see below), whose sum is σ = 674716224. Its totient is φ = 51996672.

The previous prime is 194999039. The next prime is 194999041. The reversal of 194999040 is 40999491.

194999040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (194999039) and next prime (194999041).

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

It is not an unprimeable number, because it can be changed into a prime (194999041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3057 + ... + 19983.

Almost surely, 2194999040 is an apocalyptic number.

194999040 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 194999040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337358112).

194999040 is an abundant number, since it is smaller than the sum of its proper divisors (479717184).

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

194999040 is a wasteful number, since it uses less digits than its factorization.

194999040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16954 (or 16937 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 194999040 is about 13964.2056702127. The cubic root of 194999040 is about 579.8880481506. Note that the first 3 decimals are identical.

The spelling of 194999040 in words is "one hundred ninety-four million, nine hundred ninety-nine 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 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 16927 33854 50781 67708 84635 101562 135416 152343 169270 203124 253905 270832 304686 338540 406248 507810 541664 609372 677080 761715 812496 1015620 1083328 1218744 1354160 1523430 1624992 2031240 2166656 2437488 2708320 3046860 3249984 4062480 4333312 4874976 5416640 6093720 6499968 8124960 9749952 10833280 12187440 12999936 16249920 19499904 21666560 24374880 32499840 38999808 48749760 64999680 97499520 194999040