Search a number
-
+
152399460720 = 243513172873293
BaseRepresentation
bin1000110111101110110…
…1110011100101110000
3112120100222110202012010
42031323231303211300
54444103230220340
6154002241202520
714003413020363
oct2157355634560
9476328422163
10152399460720
11596a5582541
1225652330440
13114a97097c0
14753a3100da
153e6e59ab80
hex237bb73970

152399460720 has 160 divisors (see below), whose sum is σ = 538708145472. Its totient is φ = 35307012096.

The previous prime is 152399460679. The next prime is 152399460721. The reversal of 152399460720 is 27064993251.

152399460720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 152399460720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152399460721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383607 + ... + 1489686.

Almost surely, 2152399460720 is an apocalyptic number.

152399460720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152399460720 is an abundant number, since it is smaller than the sum of its proper divisors (386308684752).

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

152399460720 is a wasteful number, since it uses less digits than its factorization.

152399460720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873339 (or 2873333 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 152399460720 in words is "one hundred fifty-two billion, three hundred ninety-nine million, four hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040 2873293 5746586 8619879 11493172 14366465 17239758 22986344 28732930 34479516 37352809 43099395 45972688 48845981 57465860 68959032 74705618 86198790 97691962 112058427 114931720 137918064 146537943 149411236 172397580 186764045 195383924 224116854 229863440 244229905 293075886 298822472 344795160 373528090 390767848 448233708 488459810 560292135 586151772 597644944 634997753 689590320 732689715 747056180 781535696 896467416 976919620 1120584270 1172303544 1269995506 1465379430 1494112360 1792934832 1904993259 1953839240 2241168540 2344607088 2539991012 2930758860 2988224720 3174988765 3809986518 3907678480 4482337080 5079982024 5861517720 6349977530 7619973036 8964674160 9524966295 10159964048 11723035440 12699955060 15239946072 19049932590 25399910120 30479892144 38099865180 50799820240 76199730360 152399460720