Search a number
-
+
30503240520 = 23352953165383
BaseRepresentation
bin11100011010001000…
…101000001101001000
32220201211020011120220
4130122020220031020
5444432312144040
622002450150040
72126620160244
oct343210501510
986654204526
1030503240520
1111a33314095
125ab3582320
132b5171315c
141695205424
15bd7dd22d0
hex71a228348

30503240520 has 128 divisors (see below), whose sum is σ = 96451948800. Its totient is φ = 7705478144.

The previous prime is 30503240497. The next prime is 30503240533. The reversal of 30503240520 is 2504230503.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101749 + ... + 267131.

It is an arithmetic number, because the mean of its divisors is an integer number (753530850).

Almost surely, 230503240520 is an apocalyptic number.

30503240520 is a gapful number since it is divisible by the number (30) 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 30503240520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48225974400).

30503240520 is an abundant number, since it is smaller than the sum of its proper divisors (65948708280).

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

30503240520 is a wasteful number, since it uses less digits than its factorization.

30503240520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165479 (or 165475 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The spelling of 30503240520 in words is "thirty billion, five hundred three million, two hundred forty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 53 58 60 87 106 116 120 145 159 174 212 232 265 290 318 348 424 435 530 580 636 696 795 870 1060 1160 1272 1537 1590 1740 2120 3074 3180 3480 4611 6148 6360 7685 9222 12296 15370 18444 23055 30740 36888 46110 61480 92220 165383 184440 330766 496149 661532 826915 992298 1323064 1653830 1984596 2480745 3307660 3969192 4796107 4961490 6615320 8765299 9592214 9922980 14388321 17530598 19184428 19845960 23980535 26295897 28776642 35061196 38368856 43826495 47961070 52591794 57553284 70122392 71941605 87652990 95922140 105183588 115106568 131479485 143883210 175305980 191844280 210367176 254193671 262958970 287766420 350611960 508387342 525917940 575532840 762581013 1016774684 1051835880 1270968355 1525162026 2033549368 2541936710 3050324052 3812905065 5083873420 6100648104 7625810130 10167746840 15251620260 30503240520