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1513004240 = 2451129101587
BaseRepresentation
bin101101000101110…
…1001110011010000
310220102222120122002
41122023221303100
511044312113430
6410044533132
752331216036
oct13213516320
93812876562
101513004240
11707062530
123628511a8
131b15c63a7
14104d2a556
158cc67845
hex5a2e9cd0

1513004240 has 160 divisors (see below), whose sum is σ = 4015992960. Its totient is φ = 525056000.

The previous prime is 1513004231. The next prime is 1513004279. The reversal of 1513004240 is 424003151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 2577227 + ... + 2577813.

It is an arithmetic number, because the mean of its divisors is an integer number (25099956).

Almost surely, 21513004240 is an apocalyptic number.

1513004240 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 1513004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007996480).

1513004240 is an abundant number, since it is smaller than the sum of its proper divisors (2502988720).

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

1513004240 is a wasteful number, since it uses less digits than its factorization.

1513004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 1513004240 is about 38897.3551800119. The cubic root of 1513004240 is about 1148.0127595129.

Adding to 1513004240 its reverse (424003151), we get a palindrome (1937007391).

The spelling of 1513004240 in words is "one billion, five hundred thirteen million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 29 40 44 55 58 80 88 101 110 116 145 176 202 220 232 290 319 404 440 464 505 580 587 638 808 880 1010 1111 1160 1174 1276 1595 1616 2020 2222 2320 2348 2552 2929 2935 3190 4040 4444 4696 5104 5555 5858 5870 6380 6457 8080 8888 9392 11110 11716 11740 12760 12914 14645 17023 17776 22220 23432 23480 25520 25828 29290 32219 32285 34046 44440 46864 46960 51656 58580 59287 64438 64570 68092 85115 88880 103312 117160 118574 128876 129140 136184 161095 170230 187253 234320 237148 257752 258280 272368 296435 322190 340460 374506 474296 515504 516560 592870 644380 652157 680920 749012 936265 948592 1185740 1288760 1304314 1361840 1498024 1719323 1872530 2371480 2577520 2608628 2996048 3260785 3438646 3745060 4742960 5217256 6521570 6877292 7490120 8596615 10434512 13043140 13754584 14980240 17193230 18912553 26086280 27509168 34386460 37825106 52172560 68772920 75650212 94562765 137545840 151300424 189125530 302600848 378251060 756502120 1513004240