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1004240100 = 223527942373
BaseRepresentation
bin111011110110110…
…111110011100100
32120222122200102210
4323312313303210
54024041140400
6243352203420
733612620463
oct7366676344
92528580383
101004240100
1147595a4a6
12240399570
13130093116
14975329da
155d26c950
hex3bdb7ce4

1004240100 has 72 divisors (see below), whose sum is σ = 2942450560. Its totient is φ = 264401280.

The previous prime is 1004240089. The next prime is 1004240113. The reversal of 1004240100 is 10424001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2514 + ... + 44886.

Almost surely, 21004240100 is an apocalyptic number.

1004240100 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 1004240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471225280).

1004240100 is an abundant number, since it is smaller than the sum of its proper divisors (1938210460).

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

1004240100 is a wasteful number, since it uses less digits than its factorization.

1004240100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42469 (or 42462 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 1004240100 is about 31689.7475534281. The cubic root of 1004240100 is about 1001.4113737537.

Adding to 1004240100 its reverse (10424001), we get a palindrome (1014664101).

The spelling of 1004240100 in words is "one billion, four million, two hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1185 1580 1975 2370 3950 4740 5925 7900 11850 23700 42373 84746 127119 169492 211865 254238 423730 508476 635595 847460 1059325 1271190 2118650 2542380 3177975 3347467 4237300 6355950 6694934 10042401 12711900 13389868 16737335 20084802 33474670 40169604 50212005 66949340 83686675 100424010 167373350 200848020 251060025 334746700 502120050 1004240100