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1214026840 = 235133137459
BaseRepresentation
bin100100001011100…
…1001010001011000
310010121101221202001
41020113021101120
54441242324330
6320244450344
742041025565
oct11027112130
93117357661
101214026840
11573317374
1229a6a99b4
13164695ba0
14b734186c
15718ab9ca
hex485c9458

1214026840 has 64 divisors (see below), whose sum is σ = 2951474400. Its totient is φ = 446764032.

The previous prime is 1214026817. The next prime is 1214026897. The reversal of 1214026840 is 486204121.

It is a super-2 number, since 2×12140268402 = 2947722336480771200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1214026799 and 1214026808.

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, 159031 + ... + 166489.

Almost surely, 21214026840 is an apocalyptic number.

1214026840 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 1214026840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475737200).

1214026840 is an abundant number, since it is smaller than the sum of its proper divisors (1737447560).

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

1214026840 is a wasteful number, since it uses less digits than its factorization.

1214026840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1214026840 is about 34842.8879400086. The cubic root of 1214026840 is about 1066.7830241990.

The spelling of 1214026840 in words is "one billion, two hundred fourteen million, twenty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 313 520 626 1252 1565 2504 3130 4069 6260 7459 8138 12520 14918 16276 20345 29836 32552 37295 40690 59672 74590 81380 96967 149180 162760 193934 298360 387868 484835 775736 969670 1939340 2334667 3878680 4669334 9338668 11673335 18677336 23346670 30350671 46693340 60701342 93386680 121402684 151753355 242805368 303506710 607013420 1214026840