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20403024240 = 24352919914731
BaseRepresentation
bin10011000000000111…
…010111000101110000
31221122220220000120110
4103000013113011300
5313241133233430
613212323341320
71321414562454
oct230007270560
957586800513
1020403024240
11871aa80105
123b54b21840
131c02037911
14db7a36664
157e632a7b0
hex4c01d7170

20403024240 has 160 divisors (see below), whose sum is σ = 65763648000. Its totient is φ = 5226439680.

The previous prime is 20403024203. The next prime is 20403024307. The reversal of 20403024240 is 4242030402.

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, 1377675 + ... + 1392405.

It is an arithmetic number, because the mean of its divisors is an integer number (411022800).

Almost surely, 220403024240 is an apocalyptic number.

20403024240 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 20403024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32881824000).

20403024240 is an abundant number, since it is smaller than the sum of its proper divisors (45360623760).

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

20403024240 is a wasteful number, since it uses less digits than its factorization.

20403024240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14975 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 20403024240 its reverse (4242030402), we get a palindrome (24645054642).

The spelling of 20403024240 in words is "twenty billion, four hundred three million, twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 199 232 240 290 348 398 435 464 580 597 696 796 870 995 1160 1194 1392 1592 1740 1990 2320 2388 2985 3184 3480 3980 4776 5771 5970 6960 7960 9552 11542 11940 14731 15920 17313 23084 23880 28855 29462 34626 44193 46168 47760 57710 58924 69252 73655 86565 88386 92336 115420 117848 138504 147310 173130 176772 220965 230840 235696 277008 294620 346260 353544 427199 441930 461680 589240 692520 707088 854398 883860 1178480 1281597 1385040 1708796 1767720 2135995 2563194 2931469 3417592 3535440 4271990 5126388 5862938 6407985 6835184 8543980 8794407 10252776 11725876 12815970 14657345 17087960 17588814 20505552 23451752 25631940 29314690 34175920 35177628 43972035 46903504 51263880 58629380 70355256 85012601 87944070 102527760 117258760 140710512 170025202 175888140 234517520 255037803 340050404 351776280 425063005 510075606 680100808 703552560 850126010 1020151212 1275189015 1360201616 1700252020 2040302424 2550378030 3400504040 4080604848 5100756060 6801008080 10201512120 20403024240