Search a number
-
+
2106453624 = 2331153151997
BaseRepresentation
bin111110110001101…
…1110111001111000
312102210122221010220
41331203132321320
513303223003444
6545004340040
7103125363132
oct17543367170
95383587126
102106453624
11991046870
124a9544620
1327753a482
1415da8a052
15c4dde619
hex7d8dee78

2106453624 has 128 divisors (see below), whose sum is σ = 5897940480. Its totient is φ = 621504000.

The previous prime is 2106453611. The next prime is 2106453659. The reversal of 2106453624 is 4263546012.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 2112294 + ... + 2113290.

It is an arithmetic number, because the mean of its divisors is an integer number (46077660).

Almost surely, 22106453624 is an apocalyptic number.

2106453624 is a gapful number since it is divisible by the number (24) 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 2106453624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948970240).

2106453624 is an abundant number, since it is smaller than the sum of its proper divisors (3791486856).

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

2106453624 is a wasteful number, since it uses less digits than its factorization.

2106453624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 2106453624 is about 45896.1177443147. The cubic root of 2106453624 is about 1281.8896292662.

Adding to 2106453624 its reverse (4263546012), we get a palindrome (6369999636).

The spelling of 2106453624 in words is "two billion, one hundred six million, four hundred fifty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 151 159 212 264 302 318 424 453 583 604 636 906 997 1166 1208 1272 1661 1749 1812 1994 2332 2991 3322 3498 3624 3988 4664 4983 5982 6644 6996 7976 8003 9966 10967 11964 13288 13992 16006 19932 21934 23928 24009 32012 32901 39864 43868 48018 52841 64024 65802 87736 88033 96036 105682 131604 150547 158523 176066 192072 211364 263208 264099 301094 317046 352132 422728 451641 528198 581251 602188 634092 704264 903282 1056396 1162502 1204376 1268184 1656017 1743753 1806564 2112792 2325004 3312034 3487506 3613128 4650008 4968051 6624068 6975012 7978991 9936102 13248136 13950024 15957982 19872204 23936973 31915964 39744408 47873946 63831928 87768901 95747892 175537802 191495784 263306703 351075604 526613406 702151208 1053226812 2106453624