Search a number
-
+
156464440 = 235113111471
BaseRepresentation
bin10010101001101…
…11010100111000
3101220102012212021
421110313110320
5310023330230
623305324224
73606632356
oct1124672470
9356365767
10156464440
1180358060
1244496674
1326553412
1416acc7d6
15db09c7a
hex9537538

156464440 has 64 divisors (see below), whose sum is σ = 396472320. Its totient is φ = 55056000.

The previous prime is 156464431. The next prime is 156464459. The reversal of 156464440 is 44464651.

156464440 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 2×1564644402 = 48962241969027200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 156464396 and 156464405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7905 + ... + 19375.

It is an arithmetic number, because the mean of its divisors is an integer number (6194880).

Almost surely, 2156464440 is an apocalyptic number.

156464440 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 156464440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198236160).

156464440 is an abundant number, since it is smaller than the sum of its proper divisors (240007880).

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

156464440 is a wasteful number, since it uses less digits than its factorization.

156464440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11524 (or 11520 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 156464440 is about 12508.5746590089. The cubic root of 156464440 is about 538.8549582601.

The spelling of 156464440 in words is "one hundred fifty-six million, four hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 11471 13640 22942 45884 57355 91768 114710 126181 229420 252362 355601 458840 504724 630905 711202 1009448 1261810 1422404 1778005 2523620 2844808 3556010 3911611 5047240 7112020 7823222 14224040 15646444 19558055 31292888 39116110 78232220 156464440