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119420928 = 21132111931
BaseRepresentation
bin1110001111000…
…11100000000000
322022201012201100
413013203200000
5221032432203
615503334400
72650026654
oct707434000
9268635640
10119420928
1161456790
1233bb1400
131b983493
1411c08a64
15a73dea3
hex71e3800

119420928 has 288 divisors, whose sum is σ = 408844800. Its totient is φ = 33177600.

The previous prime is 119420923. The next prime is 119420929. The reversal of 119420928 is 829024911.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1194209282 = 28522716088762368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 119420892 and 119420901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119420923) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3852273 + ... + 3852303.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2119420928 is an apocalyptic number.

119420928 is a gapful number since it is divisible by the number (18) 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 119420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204422400).

119420928 is an abundant number, since it is smaller than the sum of its proper divisors (289423872).

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

119420928 is a wasteful number, since it uses less digits than its factorization.

119420928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 119420928 is about 10927.9882869630. The cubic root of 119420928 is about 492.4477383627.

It can be divided in two parts, 1194 and 20928, that added together give a palindrome (22122).

The spelling of 119420928 in words is "one hundred nineteen million, four hundred twenty thousand, nine hundred twenty-eight".