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2090023440 = 243537373631
BaseRepresentation
bin111110010010011…
…0011101000010000
312101122202012011120
41330210303220100
513240021222230
6543220242240
7102535622541
oct17444635020
95348665146
102090023440
119828445aa
124a3b40380
13274006b7b
1415b8104c8
15c3746310
hex7c933a10

2090023440 has 160 divisors (see below), whose sum is σ = 6682596096. Its totient is φ = 539965440.

The previous prime is 2090023433. The next prime is 2090023457. The reversal of 2090023440 is 443200902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2090023440.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3311925 + ... + 3312555.

Almost surely, 22090023440 is an apocalyptic number.

2090023440 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 2090023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3341298048).

2090023440 is an abundant number, since it is smaller than the sum of its proper divisors (4592572656).

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

2090023440 is a wasteful number, since it uses less digits than its factorization.

2090023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2090023440 is about 45716.7741644137. The cubic root of 2090023440 is about 1278.5480443661.

The spelling of 2090023440 in words is "two billion, ninety million, twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 373 444 555 592 631 740 746 888 1110 1119 1262 1480 1492 1776 1865 1893 2220 2238 2524 2960 2984 3155 3730 3786 4440 4476 5048 5595 5968 6310 7460 7572 8880 8952 9465 10096 11190 12620 13801 14920 15144 17904 18930 22380 23347 25240 27602 29840 30288 37860 41403 44760 46694 50480 55204 69005 70041 75720 82806 89520 93388 110408 116735 138010 140082 151440 165612 186776 207015 220816 233470 235363 276020 280164 331224 350205 373552 414030 466940 470726 552040 560328 662448 700410 706089 828060 933880 941452 1104080 1120656 1176815 1400820 1412178 1656120 1867760 1882904 2353630 2801640 2824356 3312240 3530445 3765808 4707260 5603280 5648712 7060890 8708431 9414520 11297424 14121780 17416862 18829040 26125293 28243560 34833724 43542155 52250586 56487120 69667448 87084310 104501172 130626465 139334896 174168620 209002344 261252930 348337240 418004688 522505860 696674480 1045011720 2090023440