Search a number
-
+
153866440 = 235713411031
BaseRepresentation
bin10010010101111…
…01000011001000
3101201112020002001
421022331003020
5303342211230
623133520344
73545562130
oct1112750310
9351466061
10153866440
1179943152
12436430b4
1325b53a40
1416613ac0
15d7950ca
hex92bd0c8

153866440 has 128 divisors (see below), whose sum is σ = 436907520. Its totient is φ = 47462400.

The previous prime is 153866381. The next prime is 153866441. The reversal of 153866440 is 44668351.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 153866440.

It is not an unprimeable number, because it can be changed into a prime (153866441) 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, 148725 + ... + 149755.

It is an arithmetic number, because the mean of its divisors is an integer number (3413340).

Almost surely, 2153866440 is an apocalyptic number.

153866440 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 153866440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218453760).

153866440 is an abundant number, since it is smaller than the sum of its proper divisors (283041080).

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

153866440 is a wasteful number, since it uses less digits than its factorization.

153866440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 153866440 is about 12404.2911929703. The cubic root of 153866440 is about 535.8558404173.

The spelling of 153866440 in words is "one hundred fifty-three million, eight hundred sixty-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 41 52 56 65 70 82 91 104 130 140 164 182 205 260 280 287 328 364 410 455 520 533 574 728 820 910 1031 1066 1148 1435 1640 1820 2062 2132 2296 2665 2870 3640 3731 4124 4264 5155 5330 5740 7217 7462 8248 10310 10660 11480 13403 14434 14924 18655 20620 21320 26806 28868 29848 36085 37310 41240 42271 53612 57736 67015 72170 74620 84542 93821 107224 134030 144340 149240 169084 187642 211355 268060 288680 295897 338168 375284 422710 469105 536120 549523 591794 750568 845420 938210 1099046 1183588 1479485 1690840 1876420 2198092 2367176 2747615 2958970 3752840 3846661 4396184 5495230 5917940 7693322 10990460 11835880 15386644 19233305 21980920 30773288 38466610 76933220 153866440