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2421312000 = 2935312611
BaseRepresentation
bin1001000001010010…
…0100101000000000
320020202010101122020
42100110210220000
514424323441000
61040133041440
7114000545442
oct22024445000
96222111566
102421312000
1110328495a8
12576a86280
132c783b2c3
1418d80a492
15e2885ba0
hex90524a00

2421312000 has 160 divisors (see below), whose sum is σ = 8050895424. Its totient is φ = 645632000.

The previous prime is 2421311953. The next prime is 2421312011. The reversal of 2421312000 is 2131242.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 185695 + ... + 198305.

Almost surely, 22421312000 is an apocalyptic number.

2421312000 is a gapful number since it is divisible by the number (20) 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 2421312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025447712).

2421312000 is an abundant number, since it is smaller than the sum of its proper divisors (5629583424).

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

2421312000 is an equidigital number, since it uses as much as digits as its factorization.

2421312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647 (or 12621 counting only the distinct ones).

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

The square root of 2421312000 is about 49206.8287943858. The cubic root of 2421312000 is about 1342.8172701520.

Adding to 2421312000 its reverse (2131242), we get a palindrome (2423443242).

The spelling of 2421312000 in words is "two billion, four hundred twenty-one million, three hundred twelve thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 256 300 320 375 384 400 480 500 512 600 640 750 768 800 960 1000 1200 1280 1500 1536 1600 1920 2000 2400 2560 3000 3200 3840 4000 4800 6000 6400 7680 8000 9600 12000 12611 12800 16000 19200 24000 25222 32000 37833 38400 48000 50444 63055 64000 75666 96000 100888 126110 151332 189165 192000 201776 252220 302664 315275 378330 403552 504440 605328 630550 756660 807104 945825 1008880 1210656 1261100 1513320 1576375 1614208 1891650 2017760 2421312 2522200 3026640 3152750 3228416 3783300 4035520 4729125 4842624 5044400 6053280 6305500 6456832 7566600 8071040 9458250 9685248 10088800 12106560 12611000 15133200 16142080 18916500 19370496 20177600 24213120 25222000 30266400 32284160 37833000 40355200 48426240 50444000 60532800 75666000 80710400 96852480 100888000 121065600 151332000 161420800 201776000 242131200 302664000 403552000 484262400 605328000 807104000 1210656000 2421312000