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64379070 = 23357231481
BaseRepresentation
bin1111010110010…
…1100010111110
311111010210111000
43311211202332
5112440112240
610215511130
71411133040
oct365454276
9144123430
1064379070
1133381a48
12196884a6
1310451232
14879ba90
1559ba430
hex3d658be

64379070 has 128 divisors (see below), whose sum is σ = 204871680. Its totient is φ = 14065920.

The previous prime is 64379069. The next prime is 64379083. The reversal of 64379070 is 7097346.

64379070 is a `hidden beast` number, since 643 + 7 + 9 + 0 + 7 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42730 + ... + 44210.

It is an arithmetic number, because the mean of its divisors is an integer number (1600560).

Almost surely, 264379070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64379070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102435840).

64379070 is an abundant number, since it is smaller than the sum of its proper divisors (140492610).

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

64379070 is a wasteful number, since it uses less digits than its factorization.

64379070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 64379070 is about 8023.6568969517. The cubic root of 64379070 is about 400.7881750966.

The spelling of 64379070 in words is "sixty-four million, three hundred seventy-nine thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1481 1610 1890 2070 2415 2898 2962 3105 4347 4443 4830 6210 7245 7405 8694 8886 10367 13329 14490 14810 20734 21735 22215 26658 31101 34063 39987 43470 44430 51835 62202 66645 68126 79974 93303 102189 103670 133290 155505 170315 186606 199935 204378 238441 279909 306567 311010 340630 399870 466515 476882 510945 559818 613134 715323 919701 933030 1021890 1192205 1399545 1430646 1532835 1839402 2145969 2384410 2799090 3065670 3576615 4291938 4598505 6437907 7153230 9197010 10729845 12875814 21459690 32189535 64379070