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1420913025 = 3252723592
BaseRepresentation
bin101010010110001…
…0110100110000001
310200000200212020100
41110230112212001
510402223204100
6352555033013
750132363400
oct12454264601
93600625210
101420913025
1166a082a94
12337a3b769
131984c164c
14d69d7637
1584b26400
hex54b16981

1420913025 has 81 divisors (see below), whose sum is σ = 2968795011. Its totient is φ = 647750880.

The previous prime is 1420913017. The next prime is 1420913041. The reversal of 1420913025 is 5203190241.

The square root of 1420913025 is 37695.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 511528689 + 909384336 = 22617^2 + 30156^2 .

It is not a de Polignac number, because 1420913025 - 23 = 1420913017 is a prime.

It is a super-2 number, since 2×14209130252 = 4037987649229301250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1420913025.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 3957796 + ... + 3958154.

Almost surely, 21420913025 is an apocalyptic number.

1420913025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1420913025 is the 37695-th square number.

1420913025 is the 18848-th centered octagonal number.

It is an amenable number.

1420913025 is an abundant number, since it is smaller than the sum of its proper divisors (1547881986).

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

1420913025 is an equidigital number, since it uses as much as digits as its factorization.

1420913025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 1420913025 is about 1124.2317124758.

The spelling of 1420913025 in words is "one billion, four hundred twenty million, nine hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 359 441 525 735 1077 1225 1575 1795 2205 2513 3231 3675 5385 7539 8975 11025 12565 16155 17591 22617 26925 37695 52773 62825 80775 87955 113085 128881 158319 188475 263865 386643 439775 565425 644405 791595 902167 1159929 1319325 1933215 2706501 3222025 3957975 4510835 5799645 6315169 8119503 9666075 13532505 18945507 22554175 28998225 31575845 40597515 56836521 67662525 94727535 157879225 202987575 284182605 473637675 1420913025