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1017026420 = 225234747041
BaseRepresentation
bin111100100111101…
…001011101110100
32121212201021222012
4330213221131310
54040324321140
6244530223352
734126403414
oct7447513564
92555637865
101017026420
114820a3003
12244724b58
1313291bca7
1499100644
155e446265
hex3c9e9774

1017026420 has 48 divisors (see below), whose sum is σ = 2276080128. Its totient is φ = 380835840.

The previous prime is 1017026399. The next prime is 1017026447. The reversal of 1017026420 is 246207101.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 1901 + ... + 45140.

It is an arithmetic number, because the mean of its divisors is an integer number (47418336).

Almost surely, 21017026420 is an apocalyptic number.

1017026420 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 1017026420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138040064).

1017026420 is an abundant number, since it is smaller than the sum of its proper divisors (1259053708).

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

1017026420 is a wasteful number, since it uses less digits than its factorization.

1017026420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47120 (or 47118 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 1017026420 is about 31890.8516662694. The cubic root of 1017026420 is about 1005.6435636077.

The spelling of 1017026420 in words is "one billion, seventeen million, twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 2162 4324 5405 10810 21620 47041 94082 188164 235205 470410 940820 1081943 2163886 2210927 4327772 4421854 5409715 8843708 10819430 11054635 21638860 22109270 44218540 50851321 101702642 203405284 254256605 508513210 1017026420