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196917984 = 25324315901
BaseRepresentation
bin10111011110010…
…11101011100000
3111201112110200200
423233023223200
5400402333414
631312345200
74610526624
oct1357135340
9451473620
10196917984
11a117843a
1255b45200
1331a48523
141c21d184
151244b109
hexbbcbae0

196917984 has 72 divisors (see below), whose sum is σ = 573044472. Its totient is φ = 64108800.

The previous prime is 196917979. The next prime is 196918009. The reversal of 196917984 is 489719691.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 196917984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4434 + ... + 20334.

It is an arithmetic number, because the mean of its divisors is an integer number (7958951).

Almost surely, 2196917984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196917984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286522236).

196917984 is an abundant number, since it is smaller than the sum of its proper divisors (376126488).

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

196917984 is a wasteful number, since it uses less digits than its factorization.

196917984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15960 (or 15949 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 196917984 is about 14032.7468444350. The cubic root of 196917984 is about 581.7840272801.

The spelling of 196917984 in words is "one hundred ninety-six million, nine hundred seventeen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 12384 15901 31802 47703 63604 95406 127208 143109 190812 254416 286218 381624 508832 572436 683743 763248 1144872 1367486 1526496 2051229 2289744 2734972 4102458 4579488 5469944 6153687 8204916 10939888 12307374 16409832 21879776 24614748 32819664 49229496 65639328 98458992 196917984