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1023693420 = 2235171003621
BaseRepresentation
bin111101000001000…
…101001001101100
32122100021000101010
4331001011021230
54044031142140
6245325145220
734240151631
oct7501051154
92570230333
101023693420
11485937022
122469bb210
13134114769
1499d58188
155ed11880
hex3d04526c

1023693420 has 48 divisors (see below), whose sum is σ = 3034952928. Its totient is φ = 256926720.

The previous prime is 1023693409. The next prime is 1023693427. The reversal of 1023693420 is 243963201.

It is a super-3 number, since 3×10236934203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1023693427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500791 + ... + 502830.

It is an arithmetic number, because the mean of its divisors is an integer number (63228186).

Almost surely, 21023693420 is an apocalyptic number.

1023693420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023693420 is an abundant number, since it is smaller than the sum of its proper divisors (2011259508).

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

1023693420 is a wasteful number, since it uses less digits than its factorization.

1023693420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003650 (or 1003648 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 1023693420 is about 31995.2093288980. The cubic root of 1023693420 is about 1007.8362396163.

The spelling of 1023693420 in words is "one billion, twenty-three million, six hundred ninety-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1003621 2007242 3010863 4014484 5018105 6021726 10036210 12043452 15054315 17061557 20072420 30108630 34123114 51184671 60217260 68246228 85307785 102369342 170615570 204738684 255923355 341231140 511846710 1023693420