Search a number
-
+
2153313240 = 2335131380329
BaseRepresentation
bin1000000001011000…
…1111001111011000
312120001211122110020
42000112033033120
513402222010430
6553400550440
7104234601111
oct20026171730
95501748406
102153313240
11a05542121
12501182420
13284166360
14165da7208
15c9098b10
hex8058f3d8

2153313240 has 64 divisors (see below), whose sum is σ = 6956863200. Its totient is φ = 530045952.

The previous prime is 2153313157. The next prime is 2153313241. The reversal of 2153313240 is 423133512.

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 2153313240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153313241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 688605 + ... + 691724.

Almost surely, 22153313240 is an apocalyptic number.

2153313240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2153313240 is an abundant number, since it is smaller than the sum of its proper divisors (4803549960).

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

2153313240 is a wasteful number, since it uses less digits than its factorization.

2153313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380356 (or 1380352 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2153313240 is about 46403.8063093966. The cubic root of 2153313240 is about 1291.3255289099.

Adding to 2153313240 its reverse (423133512), we get a palindrome (2576446752).

The spelling of 2153313240 in words is "two billion, one hundred fifty-three million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 1380329 2760658 4140987 5521316 6901645 8281974 11042632 13803290 16563948 17944277 20704935 27606580 33127896 35888554 41409870 53832831 55213160 71777108 82819740 89721385 107665662 143554216 165639480 179442770 215331324 269164155 358885540 430662648 538328310 717771080 1076656620 2153313240