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196317108 = 223413127367
BaseRepresentation
bin10111011001110…
…00111110110100
3111200101221110000
423230320332310
5400224121413
631251431300
74602445041
oct1354707664
9450357400
10196317108
11a08a7a49
12558b5530
1331897b90
141c1041c8
151237d073
hexbb38fb4

196317108 has 120 divisors (see below), whose sum is σ = 558559232. Its totient is φ = 59766336.

The previous prime is 196317103. The next prime is 196317109. The reversal of 196317108 is 801713691.

196317108 is a `hidden beast` number, since 1 + 9 + 631 + 7 + 10 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196317103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534741 + ... + 535107.

Almost surely, 2196317108 is an apocalyptic number.

196317108 is a gapful number since it is divisible by the number (18) 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 196317108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279279616).

196317108 is an abundant number, since it is smaller than the sum of its proper divisors (362242124).

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

196317108 is a wasteful number, since it uses less digits than its factorization.

196317108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 196317108 is about 14011.3207086270. The cubic root of 196317108 is about 581.1916719826.

196317108 divided by its sum of digits (36) gives a triangular number (5453253 = T3302).

The spelling of 196317108 in words is "one hundred ninety-six million, three hundred seventeen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 234 254 324 351 367 381 468 508 702 734 762 1053 1101 1143 1404 1468 1524 1651 2106 2202 2286 3302 3303 3429 4212 4404 4572 4771 4953 6604 6606 6858 9542 9906 9909 10287 13212 13716 14313 14859 19084 19812 19818 20574 28626 29718 29727 39636 41148 42939 44577 46609 57252 59436 59454 85878 89154 93218 118908 128817 133731 139827 171756 178308 186436 257634 267462 279654 386451 419481 515268 534924 559308 605917 772902 838962 1211834 1258443 1545804 1677924 1817751 2423668 2516886 3635502 3775329 5033772 5453253 7271004 7550658 10906506 15101316 16359759 21813012 32719518 49079277 65439036 98158554 196317108