Search a number
-
+
119957088 = 2531279839
BaseRepresentation
bin1110010011001…
…10011001100000
322100201110012010
413021212121200
5221202111323
615523032520
72654422056
oct711463140
9270643163
10119957088
1161792599
123420b740
131bb10534
1411d081d6
15a7e7c93
hex7266660

119957088 has 48 divisors (see below), whose sum is σ = 317399040. Its totient is φ = 39666816.

The previous prime is 119957059. The next prime is 119957107. The reversal of 119957088 is 880759911.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1199570882 = 28779405922879488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7273 + ... + 17111.

It is an arithmetic number, because the mean of its divisors is an integer number (6612480).

Almost surely, 2119957088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119957088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

119957088 is an abundant number, since it is smaller than the sum of its proper divisors (197441952).

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

119957088 is a wasteful number, since it uses less digits than its factorization.

119957088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9979 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 48.

The square root of 119957088 is about 10952.4923191025. The cubic root of 119957088 is about 493.1836133605.

The spelling of 119957088 in words is "one hundred nineteen million, nine hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 1016 1524 2032 3048 4064 6096 9839 12192 19678 29517 39356 59034 78712 118068 157424 236136 314848 472272 944544 1249553 2499106 3748659 4998212 7497318 9996424 14994636 19992848 29989272 39985696 59978544 119957088