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196974000 = 24325331353
BaseRepresentation
bin10111011110110…
…01010110110000
3111201122022112100
423233121112300
5400411132000
631313500400
74611152136
oct1357312660
9451568470
10196974000
11a1206533
1255b71700
1331a67b82
141c235756
151245ca00
hexbbd95b0

196974000 has 240 divisors, whose sum is σ = 712168704. Its totient is φ = 50688000.

The previous prime is 196973993. The next prime is 196974017. The reversal of 196974000 is 479691.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557824 + ... + 558176.

Almost surely, 2196974000 is an apocalyptic number.

196974000 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 196974000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356084352).

196974000 is an abundant number, since it is smaller than the sum of its proper divisors (515194704).

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

196974000 is a wasteful number, since it uses less digits than its factorization.

196974000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 196974000 is about 14034.7426054061. The cubic root of 196974000 is about 581.8391875110.

The spelling of 196974000 in words is "one hundred ninety-six million, nine hundred seventy-four thousand".