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1210014420 = 2235732271217
BaseRepresentation
bin100100000011111…
…0101101011010100
310010022212002201220
41020013311223110
54434230430140
6320022450340
741661644556
oct11007655324
93108762656
101210014420
1157102681a
122992939b0
131638bc784
14b69b94d6
1571367bd0
hex481f5ad4

1210014420 has 96 divisors (see below), whose sum is σ = 3452416128. Its totient is φ = 316588032.

The previous prime is 1210014409. The next prime is 1210014431. The reversal of 1210014420 is 244100121.

It is an interprime number because it is at equal distance from previous prime (1210014409) and next prime (1210014431).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1210014420.

It is a congruent number.

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, 993652 + ... + 994868.

It is an arithmetic number, because the mean of its divisors is an integer number (35962668).

Almost surely, 21210014420 is an apocalyptic number.

1210014420 is a gapful number since it is divisible by the number (10) 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 1210014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726208064).

1210014420 is an abundant number, since it is smaller than the sum of its proper divisors (2242401708).

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

1210014420 is a wasteful number, since it uses less digits than its factorization.

1210014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1210014420 is about 34785.2615341613. The cubic root of 1210014420 is about 1065.6064698033.

Adding to 1210014420 its reverse (244100121), we get a palindrome (1454114541).

The spelling of 1210014420 in words is "one billion, two hundred ten million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 227 292 365 438 454 681 730 876 908 1095 1135 1217 1362 1460 2190 2270 2434 2724 3405 3651 4380 4540 4868 6085 6810 7302 12170 13620 14604 16571 18255 24340 33142 36510 49713 66284 73020 82855 88841 99426 165710 177682 198852 248565 266523 276259 331420 355364 444205 497130 533046 552518 828777 888410 994260 1066092 1105036 1332615 1381295 1657554 1776820 2665230 2762590 3315108 4143885 5330460 5525180 8287770 16575540 20166907 40333814 60500721 80667628 100834535 121001442 201669070 242002884 302503605 403338140 605007210 1210014420