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2154124240 = 2451910131399
BaseRepresentation
bin1000000001100101…
…0101001111010000
312120010100211221021
42000121111033100
513402423433430
6553430205224
7104244516412
oct20031251720
95503324837
102154124240
11a05a46474
125014b3814
1328438b538
141661389b2
15c91a907a
hex806553d0

2154124240 has 80 divisors (see below), whose sum is σ = 5280912000. Its totient is φ = 814910976.

The previous prime is 2154124237. The next prime is 2154124253. The reversal of 2154124240 is 424214512.

It is a tau number, because it is divible by the number of its divisors (80).

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, 1539061 + ... + 1540459.

It is an arithmetic number, because the mean of its divisors is an integer number (66011400).

Almost surely, 22154124240 is an apocalyptic number.

2154124240 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 2154124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2640456000).

2154124240 is an abundant number, since it is smaller than the sum of its proper divisors (3126787760).

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

2154124240 is a wasteful number, since it uses less digits than its factorization.

2154124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2154124240 is about 46412.5439940540. The cubic root of 2154124240 is about 1291.4876254000.

Adding to 2154124240 its reverse (424214512), we get a palindrome (2578338752).

The spelling of 2154124240 in words is "two billion, one hundred fifty-four million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1013 1399 1520 2026 2798 4052 5065 5596 6995 8104 10130 11192 13990 16208 19247 20260 22384 26581 27980 38494 40520 53162 55960 76988 81040 96235 106324 111920 132905 153976 192470 212648 265810 307952 384940 425296 531620 769880 1063240 1417187 1539760 2126480 2834374 5668748 7085935 11337496 14171870 22674992 26926553 28343740 53853106 56687480 107706212 113374960 134632765 215412424 269265530 430824848 538531060 1077062120 2154124240