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196557840 = 2435510111
BaseRepresentation
bin10111011011100…
…11110000010000
3111200212011200000
423231303300100
5400304322330
631300530000
74604466633
oct1355636020
9450764600
10196557840
11a0a518a6
12559b0900
133195061b
141c167c1a
15123c9560
hexbb73c10

196557840 has 120 divisors (see below), whose sum is σ = 684622848. Its totient is φ = 52410240.

The previous prime is 196557827. The next prime is 196557871. The reversal of 196557840 is 48755691.

196557840 is a `hidden beast` number, since 1 + 96 + 557 + 8 + 4 + 0 = 666.

196557840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14385 + ... + 24495.

Almost surely, 2196557840 is an apocalyptic number.

196557840 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 196557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342311424).

196557840 is an abundant number, since it is smaller than the sum of its proper divisors (488065008).

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

196557840 is a wasteful number, since it uses less digits than its factorization.

196557840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10139 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 196557840 is about 14019.9087015572. The cubic root of 196557840 is about 581.4291352134.

It can be divided in two parts, 19655 and 7840, that added together give a triangular number (27495 = T234).

The spelling of 196557840 in words is "one hundred ninety-six million, five hundred fifty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 810 972 1080 1215 1296 1620 1944 2160 2430 3240 3888 4860 6480 9720 10111 19440 20222 30333 40444 50555 60666 80888 90999 101110 121332 151665 161776 181998 202220 242664 272997 303330 363996 404440 454995 485328 545994 606660 727992 808880 818991 909990 1091988 1213320 1364985 1455984 1637982 1819980 2183976 2426640 2456973 2729970 3275964 3639960 4094955 4367952 4913946 5459940 6551928 7279920 8189910 9827892 10919880 12284865 13103856 16379820 19655784 21839760 24569730 32759640 39311568 49139460 65519280 98278920 196557840