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2420131000 = 23537345733
BaseRepresentation
bin1001000001000000…
…0100010010111000
320020122220101121111
42100100010102320
514424023143000
61040051450104
7113654526340
oct22020042270
96218811544
102420131000
111032112271
125765b6934
132c75168a1
1418d5bdd20
15e2700cba
hex904044b8

2420131000 has 64 divisors (see below), whose sum is σ = 6472140480. Its totient is φ = 829756800.

The previous prime is 2420130989. The next prime is 2420131121. The reversal of 2420131000 is 1310242.

It is a super-2 number, since 2×24201310002 = 11714068114322000000, which contains 22 as substring.

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, 165867 + ... + 179866.

It is an arithmetic number, because the mean of its divisors is an integer number (101127195).

Almost surely, 22420131000 is an apocalyptic number.

2420131000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2420131000 is an abundant number, since it is smaller than the sum of its proper divisors (4052009480).

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

2420131000 is a wasteful number, since it uses less digits than its factorization.

2420131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345761 (or 345747 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2420131000 is about 49194.8269638181. The cubic root of 2420131000 is about 1342.5989140014.

Adding to 2420131000 its reverse (1310242), we get a palindrome (2421441242).

The spelling of 2420131000 in words is "two billion, four hundred twenty million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 345733 691466 1382932 1728665 2420131 2765864 3457330 4840262 6914660 8643325 9680524 12100655 13829320 17286650 19361048 24201310 34573300 43216625 48402620 60503275 69146600 86433250 96805240 121006550 172866500 242013100 302516375 345733000 484026200 605032750 1210065500 2420131000