Search a number
-
+
120881970 = 23451113567
BaseRepresentation
bin1110011010010…
…00001100110010
322102110102220000
413031020030302
5221421210340
615554530430
72665323366
oct715101462
9272412800
10120881970
1162264460
1234596a16
131c0754c1
14120a92a6
15a92bd30
hex7348332

120881970 has 80 divisors (see below), whose sum is σ = 354613248. Its totient is φ = 29302560.

The previous prime is 120881963. The next prime is 120881977. The reversal of 120881970 is 79188021.

It is an interprime number because it is at equal distance from previous prime (120881963) and next prime (120881977).

It is a super-2 number, since 2×1208819702 = 29224901342161800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120881977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2127 + ... + 15693.

Almost surely, 2120881970 is an apocalyptic number.

120881970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120881970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177306624).

120881970 is an abundant number, since it is smaller than the sum of its proper divisors (233731278).

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

120881970 is a wasteful number, since it uses less digits than its factorization.

120881970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13597 (or 13588 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 120881970 is about 10994.6336910331. The cubic root of 120881970 is about 494.4478692221.

The spelling of 120881970 in words is "one hundred twenty million, eight hundred eighty-one thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 81 90 99 110 135 162 165 198 270 297 330 405 495 594 810 891 990 1485 1782 2970 4455 8910 13567 27134 40701 67835 81402 122103 135670 149237 203505 244206 298474 366309 407010 447711 610515 732618 746185 895422 1098927 1221030 1343133 1492370 1831545 2197854 2238555 2686266 3663090 4029399 4477110 5494635 6715665 8058798 10989270 12088197 13431330 20146995 24176394 40293990 60440985 120881970