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197678016 = 2633139823
BaseRepresentation
bin10111100100001…
…01001111000000
3111202222002021000
423302011033000
5401101144031
631340532000
74620143514
oct1362051700
9452862230
10197678016
11a1647468
1256251000
1331c53453
141c37a144
151254b3e6
hexbc853c0

197678016 has 112 divisors (see below), whose sum is σ = 586028800. Its totient is φ = 65339136.

The previous prime is 197677951. The next prime is 197678021. The reversal of 197678016 is 610876791.

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, 239781 + ... + 240603.

It is an arithmetic number, because the mean of its divisors is an integer number (5232400).

Almost surely, 2197678016 is an apocalyptic number.

197678016 is a gapful number since it is divisible by the number (16) 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 197678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293014400).

197678016 is an abundant number, since it is smaller than the sum of its proper divisors (388350784).

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

197678016 is a wasteful number, since it uses less digits than its factorization.

197678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 197678016 is about 14059.8014210728. The cubic root of 197678016 is about 582.5315581520.

The spelling of 197678016 in words is "one hundred ninety-seven million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 139 144 192 216 278 288 417 432 556 576 823 834 864 1112 1251 1646 1668 1728 2224 2469 2502 3292 3336 3753 4448 4938 5004 6584 6672 7407 7506 8896 9876 10008 13168 13344 14814 15012 19752 20016 22221 26336 26688 29628 30024 39504 40032 44442 52672 59256 60048 79008 80064 88884 114397 118512 120096 158016 177768 228794 237024 240192 343191 355536 457588 474048 686382 711072 915176 1029573 1372764 1422144 1830352 2059146 2745528 3088719 3660704 4118292 5491056 6177438 7321408 8236584 10982112 12354876 16473168 21964224 24709752 32946336 49419504 65892672 98839008 197678016