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2007401420 = 225619716963
BaseRepresentation
bin111011110100110…
…1000001111001100
312011220021120001202
41313221220033030
513102343321140
6531105325032
7100513426163
oct16751501714
95156246052
102007401420
11940142442
12480336778
1325cb691bb
141508643da
15bb375915
hex77a683cc

2007401420 has 48 divisors (see below), whose sum is σ = 4329077088. Its totient is φ = 781608960.

The previous prime is 2007401419. The next prime is 2007401449. The reversal of 2007401420 is 241047002.

It is a super-2 number, since 2×20074014202 = 8059320922036032800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2007401392 and 2007401401.

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 15 ways as a sum of consecutive naturals, for example, 109859 + ... + 126821.

It is an arithmetic number, because the mean of its divisors is an integer number (90189106).

Almost surely, 22007401420 is an apocalyptic number.

2007401420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2007401420 is an abundant number, since it is smaller than the sum of its proper divisors (2321675668).

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

2007401420 is a wasteful number, since it uses less digits than its factorization.

2007401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17130 (or 17128 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 2007401420 is about 44804.0335237800. The cubic root of 2007401420 is about 1261.4733374209.

Adding to 2007401420 its reverse (241047002), we get a palindrome (2248448422).

The spelling of 2007401420 in words is "two billion, seven million, four hundred one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 61 97 122 194 244 305 388 485 610 970 1220 1940 5917 11834 16963 23668 29585 33926 59170 67852 84815 118340 169630 339260 1034743 1645411 2069486 3290822 4138972 5173715 6581644 8227055 10347430 16454110 20694860 32908220 100370071 200740142 401480284 501850355 1003700710 2007401420