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196979958 = 233723139163
BaseRepresentation
bin10111011110110…
…10110011110110
3111201122121201000
423233122303312
5400411324313
631313544130
74611205410
oct1357326366
9451577630
10196979958
11a120aa5a
1255b75046
1331a6a7b6
141c2379b0
151245e673
hexbbdacf6

196979958 has 128 divisors (see below), whose sum is σ = 528998400. Its totient is φ = 53117856.

The previous prime is 196979917. The next prime is 196979989. The reversal of 196979958 is 859979691.

It is a super-2 number, since 2×1969799582 = 77602207707363528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 196979895 and 196979904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1208385 + ... + 1208547.

It is an arithmetic number, because the mean of its divisors is an integer number (4132800).

Almost surely, 2196979958 is an apocalyptic number.

196979958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 196979958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264499200).

196979958 is an abundant number, since it is smaller than the sum of its proper divisors (332018442).

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

196979958 is a wasteful number, since it uses less digits than its factorization.

196979958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 63.

The square root of 196979958 is about 14034.9548627703. The cubic root of 196979958 is about 581.8450538740.

The spelling of 196979958 in words is "one hundred ninety-six million, nine hundred seventy-nine thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 23 27 42 46 54 63 69 126 138 139 161 163 189 207 278 322 326 378 414 417 483 489 621 834 966 973 978 1141 1242 1251 1449 1467 1946 2282 2502 2898 2919 2934 3197 3423 3749 3753 4347 4401 5838 6394 6846 7498 7506 8694 8757 8802 9591 10269 11247 17514 19182 20538 22379 22494 22657 26243 26271 28773 30807 33741 44758 45314 52486 52542 57546 61614 67137 67482 67971 78729 86319 101223 134274 135942 157458 158599 172638 201411 202446 203913 236187 317198 402822 407826 472374 475797 521111 604233 611739 708561 951594 1042222 1208466 1223478 1417122 1427391 1563333 2854782 3126666 3647777 4282173 4689999 7295554 8564346 9379998 10943331 14069997 21886662 28139994 32829993 65659986 98489979 196979958