Search a number
-
+
610103424 = 2737593847
BaseRepresentation
bin100100010111010…
…111000010000000
31120112000110120010
4210113113002000
52222141302144
6140312344520
721055536120
oct4427270200
91515013503
10610103424
11293429807
121503a5140
1399525558
145b056c80
15388665b9
hex245d7080

610103424 has 128 divisors (see below), whose sum is σ = 1883980800. Its totient is φ = 171316224.

The previous prime is 610103401. The next prime is 610103447. The reversal of 610103424 is 424301016.

It is an interprime number because it is at equal distance from previous prime (610103401) and next prime (610103447).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 610103424.

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 15 ways as a sum of consecutive naturals, for example, 156669 + ... + 160515.

It is an arithmetic number, because the mean of its divisors is an integer number (14718600).

Almost surely, 2610103424 is an apocalyptic number.

610103424 is a gapful number since it is divisible by the number (64) 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 610103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941990400).

610103424 is an abundant number, since it is smaller than the sum of its proper divisors (1273877376).

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

610103424 is a wasteful number, since it uses less digits than its factorization.

610103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3930 (or 3918 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 610103424 is about 24700.2717393959. The cubic root of 610103424 is about 848.1405368123.

The spelling of 610103424 in words is "six hundred ten million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 128 168 177 192 224 236 336 354 384 413 448 472 672 708 826 896 944 1239 1344 1416 1652 1888 2478 2688 2832 3304 3776 3847 4956 5664 6608 7552 7694 9912 11328 11541 13216 15388 19824 22656 23082 26432 26929 30776 39648 46164 52864 53858 61552 79296 80787 92328 107716 123104 158592 161574 184656 215432 226973 246208 323148 369312 430864 453946 492416 646296 680919 738624 861728 907892 1292592 1361838 1477248 1588811 1723456 1815784 2585184 2723676 3177622 3446912 3631568 4766433 5170368 5447352 6355244 7263136 9532866 10340736 10894704 12710488 14526272 19065732 21789408 25420976 29052544 38131464 43578816 50841952 76262928 87157632 101683904 152525856 203367808 305051712 610103424