Search a number
-
+
156411640 = 235711431181
BaseRepresentation
bin10010101001010…
…10011011111000
3101220022112102201
421110222123320
5310020133030
623304235544
73606322420
oct1124523370
9356275381
10156411640
1180321420
124446bbb4
1326535388
1416ab7480
15dae92ca
hex952a6f8

156411640 has 128 divisors (see below), whose sum is σ = 449349120. Its totient is φ = 47577600.

The previous prime is 156411631. The next prime is 156411643. The reversal of 156411640 is 46114651.

156411640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1564116402 = 48929202254979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 156411599 and 156411608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156411643) 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, 131850 + ... + 133030.

It is an arithmetic number, because the mean of its divisors is an integer number (3510540).

Almost surely, 2156411640 is an apocalyptic number.

156411640 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 156411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224674560).

156411640 is an abundant number, since it is smaller than the sum of its proper divisors (292937480).

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

156411640 is a wasteful number, since it uses less digits than its factorization.

156411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 156411640 is about 12506.4639287050. The cubic root of 156411640 is about 538.7943380050.

The spelling of 156411640 in words is "one hundred fifty-six million, four hundred eleven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 77 86 88 110 140 154 172 215 220 280 301 308 344 385 430 440 473 602 616 770 860 946 1181 1204 1505 1540 1720 1892 2362 2365 2408 3010 3080 3311 3784 4724 4730 5905 6020 6622 8267 9448 9460 11810 12040 12991 13244 16534 16555 18920 23620 25982 26488 33068 33110 41335 47240 50783 51964 64955 66136 66220 82670 90937 101566 103928 129910 132440 165340 181874 203132 253915 259820 330680 355481 363748 406264 454685 507830 519640 558613 710962 727496 909370 1015660 1117226 1421924 1777405 1818740 2031320 2234452 2793065 2843848 3554810 3637480 3910291 4468904 5586130 7109620 7820582 11172260 14219240 15641164 19551455 22344520 31282328 39102910 78205820 156411640