Search a number
-
+
1538028720 = 2432519112429
BaseRepresentation
bin101101110101100…
…0111010010110000
310222012001221202200
41123223013102300
511122213404340
6412341143200
753054012514
oct13353072260
93865057680
101538028720
1171a1a4818
1236b0bab00
131b6848787
141083a2144
159005c330
hex5bac74b0

1538028720 has 120 divisors (see below), whose sum is σ = 5437114800. Its totient is φ = 388551168.

The previous prime is 1538028703. The next prime is 1538028721. The reversal of 1538028720 is 278208351.

1538028720 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1538028721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42535 + ... + 69894.

It is an arithmetic number, because the mean of its divisors is an integer number (45309290).

Almost surely, 21538028720 is an apocalyptic number.

1538028720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1538028720 is an abundant number, since it is smaller than the sum of its proper divisors (3899086080).

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

1538028720 is a wasteful number, since it uses less digits than its factorization.

1538028720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112467 (or 112458 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1538028720 is about 39217.7092650756. The cubic root of 1538028720 is about 1154.3074050872.

It can be divided in two parts, 15380 and 28720, that added together give a square (44100 = 2102).

The spelling of 1538028720 in words is "one billion, five hundred thirty-eight million, twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 112429 224858 337287 449716 562145 674574 899432 1011861 1124290 1349148 1686435 1798864 2023722 2136151 2248580 2698296 3372870 4047444 4272302 4497160 5059305 5396592 6408453 6745740 8094888 8544604 8994320 10118610 10680755 12816906 13491480 16189776 17089208 19225359 20237220 21361510 25633812 26982960 32042265 34178416 38450718 40474440 42723020 51267624 64084530 76901436 80948880 85446040 96126795 102535248 128169060 153802872 170892080 192253590 256338120 307605744 384507180 512676240 769014360 1538028720