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4200974070 = 235736173109
BaseRepresentation
bin1111101001100101…
…1100011011110110
3101211202212121001020
43322121130123312
532100422132240
61532505242010
7206050455546
oct37231343366
911752777036
104200974070
111866381aa7
12992a93306
1351c45a197
142bbd0b326
15198c230d0
hexfa65c6f6

4200974070 has 64 divisors (see below), whose sum is σ = 10240309440. Its totient is φ = 1102768128.

The previous prime is 4200974059. The next prime is 4200974077. The reversal of 4200974070 is 704790024.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4200974077) 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, 1349676 + ... + 1352784.

It is an arithmetic number, because the mean of its divisors is an integer number (160004835).

Almost surely, 24200974070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200974070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120154720).

4200974070 is an abundant number, since it is smaller than the sum of its proper divisors (6039335370).

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

4200974070 is a wasteful number, since it uses less digits than its factorization.

4200974070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809.

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4200974070 is about 64814.9216616051. The cubic root of 4200974070 is about 1613.5533659421.

The spelling of 4200974070 in words is "four billion, two hundred million, nine hundred seventy-four thousand, seventy".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 617 730 1095 1234 1851 2190 3085 3109 3702 6170 6218 9255 9327 15545 18510 18654 31090 45041 46635 90082 93270 135123 225205 226957 270246 450410 453914 675615 680871 1134785 1351230 1361742 1918253 2269570 3404355 3836506 5754759 6808710 9591265 11509518 19182530 28773795 57547590 140032469 280064938 420097407 700162345 840194814 1400324690 2100487035 4200974070