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2123424720 = 24345327689
BaseRepresentation
bin111111010010000…
…1110001111010000
312110222121011010000
41332210032033100
513322044042340
6550412210000
7103422545424
oct17644161720
95428534100
102123424720
1199a68846a
124b3169900
1327ac00041
14162026b84
15c6642d30
hex7e90e3d0

2123424720 has 100 divisors (see below), whose sum is σ = 7374991140. Its totient is φ = 566244864.

The previous prime is 2123424671. The next prime is 2123424757. The reversal of 2123424720 is 274243212.

2123424720 is a `hidden beast` number, since 212 + 3 + 424 + 7 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1396367424 + 727057296 = 37368^2 + 26964^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157365 + ... + 170324.

Almost surely, 22123424720 is an apocalyptic number.

2123424720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123424720 is an abundant number, since it is smaller than the sum of its proper divisors (5251566420).

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

2123424720 is a wasteful number, since it uses less digits than its factorization.

2123424720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327714 (or 327699 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2123424720 is about 46080.6328081549. The cubic root of 2123424720 is about 1285.3230314261.

Adding to 2123424720 its reverse (274243212), we get a palindrome (2397667932).

It can be divided in two parts, 21234 and 24720, that added together give a palindrome (45954).

The spelling of 2123424720 in words is "two billion, one hundred twenty-three million, four hundred twenty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 327689 655378 983067 1310756 1638445 1966134 2621512 2949201 3276890 3932268 4915335 5243024 5898402 6553780 7864536 8847603 9830670 11796804 13107560 14746005 15729072 17695206 19661340 23593608 26215120 26542809 29492010 35390412 39322680 44238015 47187216 53085618 58984020 70780824 78645360 88476030 106171236 117968040 132714045 141561648 176952060 212342472 235936080 265428090 353904120 424684944 530856180 707808240 1061712360 2123424720