Search a number
-
+
156672240 = 243553109113
BaseRepresentation
bin10010101011010…
…10000011110000
3101220210202220120
421111222003300
5310102002430
623314010240
73611456244
oct1125520360
9356722816
10156672240
118048a19a
1244576980
13265c6b8a
1416b44424
15db4b610
hex956a0f0

156672240 has 160 divisors (see below), whose sum is σ = 503807040. Its totient is φ = 40255488.

The previous prime is 156672223. The next prime is 156672253. The reversal of 156672240 is 42276651.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1386424 + ... + 1386536.

It is an arithmetic number, because the mean of its divisors is an integer number (3148794).

Almost surely, 2156672240 is an apocalyptic number.

156672240 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 156672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251903520).

156672240 is an abundant number, since it is smaller than the sum of its proper divisors (347134800).

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

156672240 is a wasteful number, since it uses less digits than its factorization.

156672240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 156672240 is about 12516.8782050478. The cubic root of 156672240 is about 539.0934033365.

The spelling of 156672240 in words is "one hundred fifty-six million, six hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 109 113 120 159 212 218 226 240 265 318 327 339 424 436 452 530 545 565 636 654 678 795 848 872 904 1060 1090 1130 1272 1308 1356 1590 1635 1695 1744 1808 2120 2180 2260 2544 2616 2712 3180 3270 3390 4240 4360 4520 5232 5424 5777 5989 6360 6540 6780 8720 9040 11554 11978 12317 12720 13080 13560 17331 17967 23108 23956 24634 26160 27120 28885 29945 34662 35934 36951 46216 47912 49268 57770 59890 61585 69324 71868 73902 86655 89835 92432 95824 98536 115540 119780 123170 138648 143736 147804 173310 179670 184755 197072 231080 239560 246340 277296 287472 295608 346620 359340 369510 462160 479120 492680 591216 652801 693240 718680 739020 985360 1305602 1386480 1437360 1478040 1958403 2611204 2956080 3264005 3916806 5222408 6528010 7833612 9792015 10444816 13056020 15667224 19584030 26112040 31334448 39168060 52224080 78336120 156672240