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202139640 = 233252324413
BaseRepresentation
bin11000000110001…
…10011111111000
3112002100202110100
430003012133320
5403221432030
632020315400
75003105253
oct1403063770
9462322410
10202139640
11a411455a
1257842b60
1332b56171
141cbbc09a
1512b2d360
hexc0c67f8

202139640 has 96 divisors (see below), whose sum is σ = 685545120. Its totient is φ = 51558144.

The previous prime is 202139633. The next prime is 202139653. The reversal of 202139640 is 46931202.

202139640 is a `hidden beast` number, since 2 + 0 + 2 + 13 + 9 + 640 = 666.

202139640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

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, 3927 + ... + 20486.

It is an arithmetic number, because the mean of its divisors is an integer number (7141095).

Almost surely, 2202139640 is an apocalyptic number.

202139640 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 202139640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342772560).

202139640 is an abundant number, since it is smaller than the sum of its proper divisors (483405480).

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

202139640 is a wasteful number, since it uses less digits than its factorization.

202139640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24453 (or 24446 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 202139640 is about 14217.5820729124. The cubic root of 202139640 is about 586.8816031199.

The spelling of 202139640 in words is "two hundred two million, one hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 8280 24413 48826 73239 97652 122065 146478 195304 219717 244130 292956 366195 439434 488260 561499 585912 732390 878868 976520 1098585 1122998 1464780 1684497 1757736 2197170 2245996 2807495 2929560 3368994 4394340 4491992 5053491 5614990 6737988 8422485 8788680 10106982 11229980 13475976 16844970 20213964 22459960 25267455 33689940 40427928 50534910 67379880 101069820 202139640