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2054074020 = 2235711992423
BaseRepresentation
bin111101001101110…
…1010111010100100
312022011002202211120
41322123222322210
513201320332040
6535453533540
7101621224665
oct17233527244
95264082746
102054074020
11964520239
12493aa42b0
1326972ac1b
14156b3336c
15c04e47d0
hex7a6eaea4

2054074020 has 96 divisors (see below), whose sum is σ = 5864140800. Its totient is φ = 537102720.

The previous prime is 2054073991. The next prime is 2054074049. The reversal of 2054074020 is 204704502.

It is an interprime number because it is at equal distance from previous prime (2054073991) and next prime (2054074049).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846529 + ... + 848951.

It is an arithmetic number, because the mean of its divisors is an integer number (61084800).

Almost surely, 22054074020 is an apocalyptic number.

2054074020 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 2054074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932070400).

2054074020 is an abundant number, since it is smaller than the sum of its proper divisors (3810066780).

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

2054074020 is a wasteful number, since it uses less digits than its factorization.

2054074020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 2054074020 is about 45321.8933849856. The cubic root of 2054074020 is about 1271.1750589350.

Adding to 2054074020 its reverse (204704502), we get a palindrome (2258778522).

The spelling of 2054074020 in words is "two billion, fifty-four million, seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 199 213 284 355 398 426 597 710 796 852 995 1065 1194 1420 1990 2130 2388 2423 2985 3980 4260 4846 5970 7269 9692 11940 12115 14129 14538 24230 28258 29076 36345 42387 48460 56516 70645 72690 84774 141290 145380 169548 172033 211935 282580 344066 423870 482177 516099 688132 847740 860165 964354 1032198 1446531 1720330 1928708 2064396 2410885 2580495 2893062 3440660 4821770 5160990 5786124 7232655 9643540 10321980 14465310 28930620 34234567 68469134 102703701 136938268 171172835 205407402 342345670 410814804 513518505 684691340 1027037010 2054074020