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1512013140 = 22325113720639
BaseRepresentation
bin101101000011111…
…0111110101010100
310220101010020002200
41122013313311110
511044033410030
6410011404500
752316620401
oct13207676524
93811106080
101512013140
11706545940
12362453730
131b133a241
14104b4d2a8
158cb1dd60
hex5a1f7d54

1512013140 has 144 divisors (see below), whose sum is σ = 5138864640. Its totient is φ = 356624640.

The previous prime is 1512013121. The next prime is 1512013159. The reversal of 1512013140 is 413102151.

1512013140 is a `hidden beast` number, since 1 + 512 + 0 + 13 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (1512013121) and next prime (1512013159).

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 47 ways as a sum of consecutive naturals, for example, 62941 + ... + 83579.

It is an arithmetic number, because the mean of its divisors is an integer number (35686560).

Almost surely, 21512013140 is an apocalyptic number.

1512013140 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 1512013140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569432320).

1512013140 is an abundant number, since it is smaller than the sum of its proper divisors (3626851500).

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

1512013140 is a wasteful number, since it uses less digits than its factorization.

1512013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20702 (or 20697 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1512013140 is about 38884.6131522483. The cubic root of 1512013140 is about 1147.7620345104.

Adding to 1512013140 its reverse (413102151), we get a palindrome (1925115291).

The spelling of 1512013140 in words is "one billion, five hundred twelve million, thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1980 2035 2220 2442 3330 3663 4070 4884 6105 6660 7326 8140 12210 14652 18315 20639 24420 36630 41278 61917 73260 82556 103195 123834 185751 206390 227029 247668 309585 371502 412780 454058 619170 681087 743004 763643 908116 928755 1135145 1238340 1362174 1527286 1857510 2043261 2270290 2290929 2724348 3054572 3405435 3715020 3818215 4086522 4540580 4581858 6810870 6872787 7636430 8173044 8400073 9163716 10216305 11454645 13621740 13745574 15272860 16800146 20432610 22909290 25200219 27491148 33600292 34363935 40865220 42000365 45818580 50400438 68727870 75600657 84000730 100800876 126001095 137455740 151201314 168001460 252002190 302402628 378003285 504004380 756006570 1512013140