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197980464 = 243112571459
BaseRepresentation
bin10111100110011…
…11000100110000
3111210112110010210
423303033010300
5401140333324
631351224120
74622543343
oct1363170460
9453473123
10197980464
11a1833720
1256378040
133202b006
141c41845a
15125aad29
hexbccf130

197980464 has 80 divisors (see below), whose sum is σ = 560499840. Its totient is φ = 59719680.

The previous prime is 197980421. The next prime is 197980501. The reversal of 197980464 is 464089791.

197980464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 134967 + ... + 136425.

It is an arithmetic number, because the mean of its divisors is an integer number (7006248).

Almost surely, 2197980464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197980464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280249920).

197980464 is an abundant number, since it is smaller than the sum of its proper divisors (362519376).

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

197980464 is a wasteful number, since it uses less digits than its factorization.

197980464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 197980464 is about 14070.5530808138. The cubic root of 197980464 is about 582.8284984825.

The spelling of 197980464 in words is "one hundred ninety-seven million, nine hundred eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 257 264 514 528 771 1028 1459 1542 2056 2827 2918 3084 4112 4377 5654 5836 6168 8481 8754 11308 11672 12336 16049 16962 17508 22616 23344 32098 33924 35016 45232 48147 64196 67848 70032 96294 128392 135696 192588 256784 374963 385176 749926 770352 1124889 1499852 2249778 2999704 4124593 4499556 5999408 8249186 8999112 12373779 16498372 17998224 24747558 32996744 49495116 65993488 98990232 197980464