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196626640 = 24573111129
BaseRepresentation
bin10111011100001…
…00100011010000
3111200222200001011
423232010203100
5400314023030
631302220304
74605204340
oct1356044320
9450880034
10196626640
11a0a99561
1255a24694
1331975a32
141c184d20
15123deb2a
hexbb848d0

196626640 has 80 divisors (see below), whose sum is σ = 524609280. Its totient is φ = 67138560.

The previous prime is 196626637. The next prime is 196626653. The reversal of 196626640 is 46626691.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 196626593 and 196626602.

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, 173596 + ... + 174724.

It is an arithmetic number, because the mean of its divisors is an integer number (6557616).

Almost surely, 2196626640 is an apocalyptic number.

196626640 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 196626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262304640).

196626640 is an abundant number, since it is smaller than the sum of its proper divisors (327982640).

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

196626640 is a wasteful number, since it uses less digits than its factorization.

196626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 196626640 is about 14022.3621405240. The cubic root of 196626640 is about 581.4969653885.

The spelling of 196626640 in words is "one hundred ninety-six million, six hundred twenty-six thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 311 560 622 1129 1244 1555 2177 2258 2488 3110 4354 4516 4976 5645 6220 7903 8708 9032 10885 11290 12440 15806 17416 18064 21770 22580 24880 31612 34832 39515 43540 45160 63224 79030 87080 90320 126448 158060 174160 316120 351119 632240 702238 1404476 1755595 2457833 2808952 3511190 4915666 5617904 7022380 9831332 12289165 14044760 19662664 24578330 28089520 39325328 49156660 98313320 196626640