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197062040 = 23573173311
BaseRepresentation
bin10111011111011…
…10110110011000
3111201210210022002
423233232312120
5400421441130
631315420132
74611666620
oct1357566630
9451723262
10197062040
11a126669a
1255bb4648
1331a98c76
141c259880
1512478b45
hexbbeed98

197062040 has 128 divisors (see below), whose sum is σ = 531947520. Its totient is φ = 64281600.

The previous prime is 197062027. The next prime is 197062043. The reversal of 197062040 is 40260791.

197062040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 197061994 and 197062012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197062043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633485 + ... + 633795.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2197062040 is an apocalyptic number.

197062040 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 197062040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265973760).

197062040 is an abundant number, since it is smaller than the sum of its proper divisors (334885480).

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

197062040 is a wasteful number, since it uses less digits than its factorization.

197062040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 197062040 is about 14037.8787571342. The cubic root of 197062040 is about 581.9258613733.

The spelling of 197062040 in words is "one hundred ninety-seven million, sixty-two thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 73 124 140 146 155 217 248 280 292 310 311 365 434 511 584 620 622 730 868 1022 1085 1240 1244 1460 1555 1736 2044 2170 2177 2263 2488 2555 2920 3110 4088 4340 4354 4526 5110 6220 8680 8708 9052 9641 10220 10885 11315 12440 15841 17416 18104 19282 20440 21770 22630 22703 31682 38564 43540 45260 45406 48205 63364 67487 77128 79205 87080 90520 90812 96410 113515 126728 134974 158410 158921 181624 192820 227030 269948 316820 317842 337435 385640 454060 539896 633640 635684 674870 703793 794605 908120 1271368 1349740 1407586 1589210 2699480 2815172 3178420 3518965 4926551 5630344 6356840 7037930 9853102 14075860 19706204 24632755 28151720 39412408 49265510 98531020 197062040