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1007070420 = 223519187877
BaseRepresentation
bin111100000001101…
…010110011010100
32121011222110220110
4330001222303110
54030302223140
6243533003020
733645646236
oct7401526324
92534873813
101007070420
11477512a04
12241323470
13130844475
1497a6c256
155d62b380
hex3c06acd4

1007070420 has 48 divisors (see below), whose sum is σ = 2834592768. Its totient is φ = 267143040.

The previous prime is 1007070397. The next prime is 1007070439. The reversal of 1007070420 is 240707001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32479 + ... + 55398.

It is an arithmetic number, because the mean of its divisors is an integer number (59054016).

Almost surely, 21007070420 is an apocalyptic number.

1007070420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1007070420 is an abundant number, since it is smaller than the sum of its proper divisors (1827522348).

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

1007070420 is a wasteful number, since it uses less digits than its factorization.

1007070420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88080 (or 88078 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 1007070420 is about 31734.3728471196. The cubic root of 1007070420 is about 1002.3512738450.

Adding to 1007070420 its reverse (240707001), we get a palindrome (1247777421).

It can be divided in two parts, 1007070 and 420, that added together give a triangular number (1007490 = T1419).

The spelling of 1007070420 in words is "one billion, seven million, seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 191 382 573 764 955 1146 1910 2292 2865 3820 5730 11460 87877 175754 263631 351508 439385 527262 878770 1054524 1318155 1757540 2636310 5272620 16784507 33569014 50353521 67138028 83922535 100707042 167845070 201414084 251767605 335690140 503535210 1007070420