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196475520 = 2735313301
BaseRepresentation
bin10111011010111…
…11101010000000
3111200200222202010
423231133222000
5400244204040
631255052520
74604004633
oct1355375200
9450628663
10196475520
11a09a5a6a
1255971140
1331922007
141c145c1a
15123aee80
hexbb5fa80

196475520 has 128 divisors (see below), whose sum is σ = 646663680. Its totient is φ = 50688000.

The previous prime is 196475509. The next prime is 196475549. The reversal of 196475520 is 25574691.

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

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, 57870 + ... + 61170.

It is an arithmetic number, because the mean of its divisors is an integer number (5052060).

Almost surely, 2196475520 is an apocalyptic number.

196475520 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 196475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323331840).

196475520 is an abundant number, since it is smaller than the sum of its proper divisors (450188160).

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

196475520 is a wasteful number, since it uses less digits than its factorization.

196475520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3354 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 196475520 is about 14016.9725689965. The cubic root of 196475520 is about 581.3479548175.

The spelling of 196475520 in words is "one hundred ninety-six million, four hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 310 320 372 384 465 480 496 620 640 744 930 960 992 1240 1488 1860 1920 1984 2480 2976 3301 3720 3968 4960 5952 6602 7440 9903 9920 11904 13204 14880 16505 19806 19840 26408 29760 33010 39612 49515 52816 59520 66020 79224 99030 102331 105632 132040 158448 198060 204662 211264 264080 306993 316896 396120 409324 422528 511655 528160 613986 633792 792240 818648 1023310 1056320 1227972 1267584 1534965 1584480 1637296 2046620 2112640 2455944 3069930 3168960 3274592 4093240 4911888 6139860 6337920 6549184 8186480 9823776 12279720 13098368 16372960 19647552 24559440 32745920 39295104 49118880 65491840 98237760 196475520