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196083900 = 223252223977
BaseRepresentation
bin10111011000000…
…00000010111100
3111122222002112200
423230000002330
5400144141100
631242431500
74600454115
oct1354000274
9448862480
10196083900
11a0758811
1255802590
133181599c
141c08320c
1512333e00
hexbb000bc

196083900 has 108 divisors (see below), whose sum is σ = 618002112. Its totient is φ = 52001280.

The previous prime is 196083893. The next prime is 196083907. The reversal of 196083900 is 9380691.

196083900 is a `hidden beast` number, since 19 + 608 + 39 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (196083893) and next prime (196083907).

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 (196083907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 200212 + ... + 201188.

Almost surely, 2196083900 is an apocalyptic number.

196083900 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 196083900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309001056).

196083900 is an abundant number, since it is smaller than the sum of its proper divisors (421918212).

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

196083900 is a wasteful number, since it uses less digits than its factorization.

196083900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 196083900 is about 14002.9961079763. The cubic root of 196083900 is about 580.9614453972.

The spelling of 196083900 in words is "one hundred ninety-six million, eighty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 223 225 300 446 450 669 892 900 977 1115 1338 1954 2007 2230 2676 2931 3345 3908 4014 4460 4885 5575 5862 6690 8028 8793 9770 10035 11150 11724 13380 14655 16725 17586 19540 20070 22300 24425 29310 33450 35172 40140 43965 48850 50175 58620 66900 73275 87930 97700 100350 146550 175860 200700 217871 219825 293100 435742 439650 653613 871484 879300 1089355 1307226 1960839 2178710 2614452 3268065 3921678 4357420 5446775 6536130 7843356 9804195 10893550 13072260 16340325 19608390 21787100 32680650 39216780 49020975 65361300 98041950 196083900