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1430013240 = 233256165119
BaseRepresentation
bin101010100111100…
…0100010100111000
310200122211012101100
41111033010110320
510412040410430
6353522051400
750302624545
oct12517042470
93618735340
101430013240
11674229127
1233aaa9b60
1319a3597a6
14d7cc5bcc
1585822960
hex553c4538

1430013240 has 96 divisors (see below), whose sum is σ = 4723804800. Its totient is φ = 375079680.

The previous prime is 1430013223. The next prime is 1430013253. The reversal of 1430013240 is 423100341.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10600 + ... + 54519.

It is an arithmetic number, because the mean of its divisors is an integer number (49206300).

Almost surely, 21430013240 is an apocalyptic number.

1430013240 is a gapful number since it is divisible by the number (10) 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 1430013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2361902400).

1430013240 is an abundant number, since it is smaller than the sum of its proper divisors (3293791560).

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

1430013240 is a wasteful number, since it uses less digits than its factorization.

1430013240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65197 (or 65190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1430013240 is about 37815.5158632009. The cubic root of 1430013240 is about 1126.6266483613.

Adding to 1430013240 its reverse (423100341), we get a palindrome (1853113581).

The spelling of 1430013240 in words is "one billion, four hundred thirty million, thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 7320 10980 21960 65119 130238 195357 260476 325595 390714 520952 586071 651190 781428 976785 1172142 1302380 1562856 1953570 2344284 2604760 2930355 3907140 3972259 4688568 5860710 7814280 7944518 11721420 11916777 15889036 19861295 23442840 23833554 31778072 35750331 39722590 47667108 59583885 71500662 79445180 95334216 119167770 143001324 158890360 178751655 238335540 286002648 357503310 476671080 715006620 1430013240