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197265040 = 24571312689
BaseRepresentation
bin10111100001000…
…00011010010000
3111202012002202121
423300200122100
5400444440130
631324024024
74613503510
oct1360403220
9452162677
10197265040
11a1395165
1256092014
1331b3a49b
141c2ad840
15124b8d7a
hexbc20690

197265040 has 80 divisors (see below), whose sum is σ = 528359040. Its totient is φ = 67092480.

The previous prime is 197265017. The next prime is 197265071. The reversal of 197265040 is 40562791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 197264987 and 197265005.

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, 72016 + ... + 74704.

It is an arithmetic number, because the mean of its divisors is an integer number (6604488).

Almost surely, 2197265040 is an apocalyptic number.

197265040 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 197265040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264179520).

197265040 is an abundant number, since it is smaller than the sum of its proper divisors (331094000).

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

197265040 is a wasteful number, since it uses less digits than its factorization.

197265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 197265040 is about 14045.1073331605. The cubic root of 197265040 is about 582.1256130345.

The spelling of 197265040 in words is "one hundred ninety-seven million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1834 2096 2620 2689 3668 4585 5240 5378 7336 9170 10480 10756 13445 14672 18340 18823 21512 26890 36680 37646 43024 53780 73360 75292 94115 107560 150584 188230 215120 301168 352259 376460 704518 752920 1409036 1505840 1761295 2465813 2818072 3522590 4931626 5636144 7045180 9863252 12329065 14090360 19726504 24658130 28180720 39453008 49316260 98632520 197265040