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197506920 = 23351329739
BaseRepresentation
bin10111100010110…
…11011101101000
3111202122101120010
423301123131220
5401030210140
631333131520
74615531632
oct1361333550
9452571503
10197506920
11a153a966
1256189ba0
1331bc3600
141c333a52
1512515880
hexbc5b768

197506920 has 96 divisors (see below), whose sum is σ = 641671200. Its totient is φ = 48612096.

The previous prime is 197506889. The next prime is 197506979. The reversal of 197506920 is 29605791.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 15411 + ... + 25149.

It is an arithmetic number, because the mean of its divisors is an integer number (6684075).

Almost surely, 2197506920 is an apocalyptic number.

197506920 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 197506920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320835600).

197506920 is an abundant number, since it is smaller than the sum of its proper divisors (444164280).

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

197506920 is a wasteful number, since it uses less digits than its factorization.

197506920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9779 (or 9762 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 197506920 is about 14053.7155229498. The cubic root of 197506920 is about 582.3634437089.

The spelling of 197506920 in words is "one hundred ninety-seven million, five hundred six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 260 312 338 390 507 520 676 780 845 1014 1352 1560 1690 2028 2535 3380 4056 5070 6760 9739 10140 19478 20280 29217 38956 48695 58434 77912 97390 116868 126607 146085 194780 233736 253214 292170 379821 389560 506428 584340 633035 759642 1012856 1168680 1266070 1519284 1645891 1899105 2532140 3038568 3291782 3798210 4937673 5064280 6583564 7596420 8229455 9875346 13167128 15192840 16458910 19750692 24688365 32917820 39501384 49376730 65835640 98753460 197506920