Search a number
-
+
1358621640 = 233351773999
BaseRepresentation
bin101000011111010…
…1110101111001000
310111200111010112000
41100332232233020
510240301343030
6342451551000
745445044015
oct12076565710
93450433460
101358621640
116379a7602
1231abbb460
1318862173c
14cc62070c
157e41e860
hex50faebc8

1358621640 has 128 divisors (see below), whose sum is σ = 4795200000. Its totient is φ = 340982784.

The previous prime is 1358621639. The next prime is 1358621651. The reversal of 1358621640 is 461268531.

It is a happy number.

1358621640 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 6 + 2 + 1 + 640 = 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 = 1358621595 and 1358621604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18640 + ... + 55359.

It is an arithmetic number, because the mean of its divisors is an integer number (37462500).

Almost surely, 21358621640 is an apocalyptic number.

1358621640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1358621640 is an abundant number, since it is smaller than the sum of its proper divisors (3436578360).

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

1358621640 is a wasteful number, since it uses less digits than its factorization.

1358621640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74036 (or 74026 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1358621640 is about 36859.4850750794. The cubic root of 1358621640 is about 1107.5572285870.

The spelling of 1358621640 in words is "one billion, three hundred fifty-eight million, six hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 73999 147998 221997 295996 369995 443994 591992 665991 739990 887988 1109985 1257983 1331982 1479980 1775976 1997973 2219970 2515966 2663964 2959960 3329955 3773949 3995946 4439940 5031932 5327928 6289915 6659910 7547898 7991892 8879880 9989865 10063864 11321847 12579830 13319820 15095796 15983784 18869745 19979730 22643694 25159660 26639640 30191592 33965541 37739490 39959460 45287388 50319320 56609235 67931082 75478980 79918920 90574776 113218470 135862164 150957960 169827705 226436940 271724328 339655410 452873880 679310820 1358621640