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200104320 = 2735138017
BaseRepresentation
bin10111110110101…
…01100110000000
3111221112100112010
423323111212000
5402211314240
631504532520
74646600343
oct1373254600
9457470463
10200104320
11a2a54379
1257021140
13325c2930
141c80c45a
151287a280
hexbed5980

200104320 has 128 divisors (see below), whose sum is σ = 686982240. Its totient is φ = 49250304.

The previous prime is 200104319. The next prime is 200104337. The reversal of 200104320 is 23401002.

200104320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200104296 and 200104305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20952 + ... + 28968.

Almost surely, 2200104320 is an apocalyptic number.

200104320 is a gapful number since it is divisible by the number (20) 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 200104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343491120).

200104320 is an abundant number, since it is smaller than the sum of its proper divisors (486877920).

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

200104320 is a wasteful number, since it uses less digits than its factorization.

200104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8052 (or 8040 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 200104320 is about 14145.8234118767. The cubic root of 200104320 is about 584.9052078128.

Adding to 200104320 its reverse (23401002), we get a palindrome (223505322).

The spelling of 200104320 in words is "two hundred million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8017 8320 12480 16034 24051 24960 32068 40085 48102 64136 80170 96204 104221 120255 128272 160340 192408 208442 240510 256544 312663 320680 384816 416884 481020 513088 521105 625326 641360 769632 833768 962040 1026176 1042210 1250652 1282720 1539264 1563315 1667536 1924080 2084420 2501304 2565440 3078528 3126630 3335072 3848160 4168840 5002608 5130880 6253260 6670144 7696320 8337680 10005216 12506520 13340288 15392640 16675360 20010432 25013040 33350720 40020864 50026080 66701440 100052160 200104320