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156121680 = 243511134549
BaseRepresentation
bin10010100111000…
…11101001010000
3101212202210200110
421103203221100
5304431343210
623254121320
73604004151
oct1123435120
9355683613
10156121680
1180143590
1244350240
13264633c0
1416a3d928
15da8d420
hex94e3a50

156121680 has 160 divisors (see below), whose sum is σ = 568713600. Its totient is φ = 34928640.

The previous prime is 156121627. The next prime is 156121697. The reversal of 156121680 is 86121651.

156121680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1561216803 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 32046 + ... + 36594.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2156121680 is an apocalyptic number.

156121680 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 156121680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284356800).

156121680 is an abundant number, since it is smaller than the sum of its proper divisors (412591920).

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

156121680 is a wasteful number, since it uses less digits than its factorization.

156121680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4589 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 156121680 is about 12494.8661457416. The cubic root of 156121680 is about 538.4611883619.

The spelling of 156121680 in words is "one hundred fifty-six million, one hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 4549 5720 6864 8580 9098 11440 13647 17160 18196 22745 27294 34320 36392 45490 50039 54588 59137 68235 72784 90980 100078 109176 118274 136470 150117 177411 181960 200156 218352 236548 250195 272940 295685 300234 354822 363920 400312 473096 500390 545880 591370 600468 650507 709644 750585 800624 887055 946192 1000780 1091760 1182740 1200936 1301014 1419288 1501170 1774110 1951521 2001560 2365480 2401872 2602028 2838576 3002340 3252535 3548220 3903042 4003120 4730960 5204056 6004680 6505070 7096440 7806084 9757605 10408112 12009360 13010140 14192880 15612168 19515210 26020280 31224336 39030420 52040560 78060840 156121680