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2420113200 = 2435217118633
BaseRepresentation
bin1001000000111111…
…1111111100110000
320020122212111012020
42100033333330300
514424022110300
61040051231440
7113654423421
oct22017777460
96218774166
102420113200
1110320aa95a
125765a8580
132c750b75b
1418d5b7648
15e26ea8a0
hex903fff30

2420113200 has 120 divisors (see below), whose sum is σ = 8208523728. Its totient is φ = 607395840.

The previous prime is 2420113181. The next prime is 2420113211. The reversal of 2420113200 is 23110242.

It is a tau number, because it is divible by the number of its divisors (120).

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 2420113200.

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, 38917 + ... + 79716.

Almost surely, 22420113200 is an apocalyptic number.

2420113200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420113200 is an abundant number, since it is smaller than the sum of its proper divisors (5788410528).

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

2420113200 is a wasteful number, since it uses less digits than its factorization.

2420113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118671 (or 118660 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2420113200 is about 49194.6460501547. The cubic root of 2420113200 is about 1342.5956224001.

Adding to 2420113200 its reverse (23110242), we get a palindrome (2443223442).

It can be divided in two parts, 24201 and 13200, that added together give a triangular number (37401 = T273).

The spelling of 2420113200 in words is "two billion, four hundred twenty million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 118633 237266 355899 474532 593165 711798 949064 1186330 1423596 1779495 1898128 2016761 2372660 2847192 2965825 3558990 4033522 4745320 5694384 5931650 6050283 7117980 8067044 8897475 9490640 10083805 11863300 12100566 14235960 16134088 17794950 20167610 23726600 24201132 28471920 30251415 32268176 35589900 40335220 47453200 48402264 50419025 60502830 71179800 80670440 96804528 100838050 121005660 142359600 151257075 161340880 201676100 242011320 302514150 403352200 484022640 605028300 806704400 1210056600 2420113200