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2124254040 = 233517261253
BaseRepresentation
bin111111010011101…
…1000101101011000
312111001011021201120
41332213120231120
513322302112130
6550442045240
7103432601316
oct17647305530
95431137646
102124254040
119a00a4557
124b34a9820
1327b13066c
141621a10b6
15c6758910
hex7e9d8b58

2124254040 has 96 divisors (see below), whose sum is σ = 6769792080. Its totient is φ = 533137408.

The previous prime is 2124254029. The next prime is 2124254081. The reversal of 2124254040 is 404524212.

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 2124254040.

It is a congruent number.

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, 4054 + ... + 65306.

Almost surely, 22124254040 is an apocalyptic number.

2124254040 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 2124254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384896040).

2124254040 is an abundant number, since it is smaller than the sum of its proper divisors (4645538040).

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

2124254040 is a wasteful number, since it uses less digits than its factorization.

2124254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61301 (or 61280 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 2124254040 is about 46089.6305040516. The cubic root of 2124254040 is about 1285.4903406076.

Adding to 2124254040 its reverse (404524212), we get a palindrome (2528778252).

The spelling of 2124254040 in words is "two billion, one hundred twenty-four million, two hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 289 340 408 510 578 680 867 1020 1156 1445 1734 2040 2312 2890 3468 4335 5780 6936 8670 11560 17340 34680 61253 122506 183759 245012 306265 367518 490024 612530 735036 918795 1041301 1225060 1470072 1837590 2082602 2450120 3123903 3675180 4165204 5206505 6247806 7350360 8330408 10413010 12495612 15619515 17702117 20826020 24991224 31239030 35404234 41652040 53106351 62478060 70808468 88510585 106212702 124956120 141616936 177021170 212425404 265531755 354042340 424850808 531063510 708084680 1062127020 2124254040