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64276740 = 22345113607
BaseRepresentation
bin1111010100110…
…0100100000100
311110221121010000
43311030210010
5112423323430
610213401300
71410225513
oct365144404
9143847100
1064276740
1133312080
1219639230
1310416798
14877267a
155999e60
hex3d4c904

64276740 has 120 divisors (see below), whose sum is σ = 220030272. Its totient is φ = 15577920.

The previous prime is 64276739. The next prime is 64276763. The reversal of 64276740 is 4767246.

64276740 is a `hidden beast` number, since 642 + 7 + 6 + 7 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 64276695 and 64276704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16017 + ... + 19623.

Almost surely, 264276740 is an apocalyptic number.

64276740 is a gapful number since it is divisible by the number (60) 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 64276740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110015136).

64276740 is an abundant number, since it is smaller than the sum of its proper divisors (155753532).

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

64276740 is a wasteful number, since it uses less digits than its factorization.

64276740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 64276740 is about 8017.2775927992. The cubic root of 64276740 is about 400.5757126565.

The spelling of 64276740 in words is "sixty-four million, two hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 3607 4455 5940 7214 8910 10821 14428 17820 18035 21642 32463 36070 39677 43284 54105 64926 72140 79354 97389 108210 119031 129852 158708 162315 194778 198385 216420 238062 292167 324630 357093 389556 396770 476124 486945 584334 595155 649260 714186 793540 973890 1071279 1168668 1190310 1428372 1460835 1785465 1947780 2142558 2380620 2921670 3213837 3570930 4285116 5356395 5843340 6427674 7141860 10712790 12855348 16069185 21425580 32138370 64276740