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1010402420 = 225237130937
BaseRepresentation
bin111100001110011…
…000010001110100
32121102020202112212
4330032120101310
54032130334140
6244132232552
734016164436
oct7416302164
92542222485
101010402420
11479389325
1224246b758
1313143cc71
1498298656
155da88765
hex3c398474

1010402420 has 48 divisors (see below), whose sum is σ = 2245356288. Its totient is φ = 381131520.

The previous prime is 1010402389. The next prime is 1010402453. The reversal of 1010402420 is 242040101.

It is a junction number, because it is equal to n+sod(n) for n = 1010402395 and 1010402404.

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, 17192 + ... + 48128.

It is an arithmetic number, because the mean of its divisors is an integer number (46778256).

Almost surely, 21010402420 is an apocalyptic number.

1010402420 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 1010402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122678144).

1010402420 is an abundant number, since it is smaller than the sum of its proper divisors (1234953868).

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

1010402420 is a wasteful number, since it uses less digits than its factorization.

1010402420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31040 (or 31038 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1010402420 is about 31786.8277750391. The cubic root of 1010402420 is about 1003.4555189683.

Adding to 1010402420 its reverse (242040101), we get a palindrome (1252442521).

The spelling of 1010402420 in words is "one billion, ten million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 230 284 355 460 710 1420 1633 3266 6532 8165 16330 30937 32660 61874 123748 154685 309370 618740 711551 1423102 2196527 2846204 3557755 4393054 7115510 8786108 10982635 14231020 21965270 43930540 50520121 101040242 202080484 252600605 505201210 1010402420