Search a number
-
+
120623100 = 2235213157197
BaseRepresentation
bin1110011000010…
…00111111111100
322101222021210020
413030020333330
5221334414400
615545212140
72663164563
oct714107774
9271867706
10120623100
11620a7a14
1234491050
131bcb4720
141203cbda
15a8ca2a0
hex7308ffc

120623100 has 144 divisors (see below), whose sum is σ = 380163168. Its totient is φ = 29352960.

The previous prime is 120623059. The next prime is 120623131. The reversal of 120623100 is 1326021.

It is a super-2 number, since 2×1206231002 = 29099864507220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120623100.

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, 612202 + ... + 612398.

It is an arithmetic number, because the mean of its divisors is an integer number (2640022).

Almost surely, 2120623100 is an apocalyptic number.

120623100 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 120623100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190081584).

120623100 is an abundant number, since it is smaller than the sum of its proper divisors (259540068).

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

120623100 is a wasteful number, since it uses less digits than its factorization.

120623100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 120623100 is about 10982.8548201276. The cubic root of 120623100 is about 494.0946618793.

Adding to 120623100 its reverse (1326021), we get a palindrome (121949121).

The spelling of 120623100 in words is "one hundred twenty million, six hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 157 195 197 260 300 314 325 390 394 471 591 628 650 780 785 788 942 975 985 1182 1300 1570 1884 1950 1970 2041 2355 2364 2561 2955 3140 3900 3925 3940 4082 4710 4925 5122 5910 6123 7683 7850 8164 9420 9850 10205 10244 11775 11820 12246 12805 14775 15366 15700 19700 20410 23550 24492 25610 29550 30615 30732 30929 38415 40820 47100 51025 51220 59100 61230 61858 64025 76830 92787 102050 122460 123716 128050 153075 153660 154645 185574 192075 204100 256100 306150 309290 371148 384150 402077 463935 612300 618580 768300 773225 804154 927870 1206231 1546450 1608308 1855740 2010385 2319675 2412462 3092900 4020770 4639350 4824924 6031155 8041540 9278700 10051925 12062310 20103850 24124620 30155775 40207700 60311550 120623100