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2113108480 = 2957373187
BaseRepresentation
bin111110111110011…
…0111101000000000
312110021012000220001
41331330313220000
513311423432410
6545403125344
7103236061060
oct17574675000
95407160801
102113108480
1199488174a
124ab813854
13278a2a562
141608dd3a0
15c57a633a
hex7df37a00

2113108480 has 160 divisors (see below), whose sum is σ = 5948654976. Its totient is φ = 704692224.

The previous prime is 2113108453. The next prime is 2113108489. The reversal of 2113108480 is 848013112.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2113108489) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 661447 + ... + 664633.

Almost surely, 22113108480 is an apocalyptic number.

2113108480 is a gapful number since it is divisible by the number (20) 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 2113108480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974327488).

2113108480 is an abundant number, since it is smaller than the sum of its proper divisors (3835546496).

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

2113108480 is an equidigital number, since it uses as much as digits as its factorization.

2113108480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 2113108480 is about 45968.5596902927. The cubic root of 2113108480 is about 1283.2381553446.

The spelling of 2113108480 in words is "two billion, one hundred thirteen million, one hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 64 70 74 80 112 128 140 148 160 185 224 256 259 280 296 320 370 448 512 518 560 592 640 740 896 1036 1120 1184 1280 1295 1480 1792 2072 2240 2368 2560 2590 2960 3187 3584 4144 4480 4736 5180 5920 6374 8288 8960 9472 10360 11840 12748 15935 16576 17920 18944 20720 22309 23680 25496 31870 33152 41440 44618 47360 50992 63740 66304 82880 89236 94720 101984 111545 117919 127480 132608 165760 178472 203968 223090 235838 254960 331520 356944 407936 446180 471676 509920 589595 663040 713888 815872 825433 892360 943352 1019840 1179190 1427776 1631744 1650866 1784720 1886704 2039680 2358380 2855552 3301732 3569440 3773408 4079360 4127165 4716760 5711104 6603464 7138880 7546816 8158720 8254330 9433520 11422208 13206928 14277760 15093632 16508660 18867040 26413856 28555520 30187264 33017320 37734080 52827712 57111040 60374528 66034640 75468160 105655424 132069280 150936320 211310848 264138560 301872640 422621696 528277120 1056554240 2113108480