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194000640 = 2835192659
BaseRepresentation
bin10111001000000…
…11011100000000
3111112001020211220
423210003130000
5344131010030
631130035040
74543656351
oct1344033400
9445036756
10194000640
119a565609
1254b78a80
13312666a2
141ba9dd28
1512071a10
hexb903700

194000640 has 144 divisors (see below), whose sum is σ = 652444800. Its totient is φ = 48992256.

The previous prime is 194000629. The next prime is 194000641. The reversal of 194000640 is 46000491.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 194000640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194000641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71631 + ... + 74289.

Almost surely, 2194000640 is an apocalyptic number.

194000640 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 194000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326222400).

194000640 is an abundant number, since it is smaller than the sum of its proper divisors (458444160).

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

194000640 is a wasteful number, since it uses less digits than its factorization.

194000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 194000640 is about 13928.4112518262. The cubic root of 194000640 is about 578.8966737922.

The spelling of 194000640 in words is "one hundred ninety-four million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 128 152 160 190 192 228 240 256 285 304 320 380 384 456 480 570 608 640 760 768 912 960 1140 1216 1280 1520 1824 1920 2280 2432 2659 3040 3648 3840 4560 4864 5318 6080 7296 7977 9120 10636 12160 13295 14592 15954 18240 21272 24320 26590 31908 36480 39885 42544 50521 53180 63816 72960 79770 85088 101042 106360 127632 151563 159540 170176 202084 212720 252605 255264 303126 319080 340352 404168 425440 505210 510528 606252 638160 680704 757815 808336 850880 1010420 1021056 1212504 1276320 1515630 1616672 1701760 2020840 2042112 2425008 2552640 3031260 3233344 3403520 4041680 4850016 5105280 6062520 6466688 8083360 9700032 10210560 12125040 12933376 16166720 19400064 24250080 32333440 38800128 48500160 64666880 97000320 194000640