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114270030 = 23257315851
BaseRepresentation
bin1101100111110…
…01111101001110
321222000112000100
412303321331032
5213223120110
615201111530
72555164530
oct663717516
9258015010
10114270030
1159558846
12323285a6
131a89bb04
1411267850
15a072bc0
hex6cf9f4e

114270030 has 96 divisors (see below), whose sum is σ = 350558208. Its totient is φ = 25272000.

The previous prime is 114270029. The next prime is 114270043. The reversal of 114270030 is 30072411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114269985 and 114270012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16605 + ... + 22455.

It is an arithmetic number, because the mean of its divisors is an integer number (3651648).

Almost surely, 2114270030 is an apocalyptic number.

114270030 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 114270030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175279104).

114270030 is an abundant number, since it is smaller than the sum of its proper divisors (236288178).

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

114270030 is a wasteful number, since it uses less digits than its factorization.

114270030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5902 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 114270030 is about 10689.7160860333. The cubic root of 114270030 is about 485.2632998353.

The spelling of 114270030 in words is "one hundred fourteen million, two hundred seventy thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 31 35 42 45 62 63 70 90 93 105 126 155 186 210 217 279 310 315 434 465 558 630 651 930 1085 1302 1395 1953 2170 2790 3255 3906 5851 6510 9765 11702 17553 19530 29255 35106 40957 52659 58510 81914 87765 105318 122871 175530 181381 204785 245742 263295 362762 368613 409570 526590 544143 614355 737226 906905 1088286 1228710 1269667 1632429 1813810 1843065 2539334 2720715 3264858 3686130 3809001 5441430 6348335 7618002 8162145 11427003 12696670 16324290 19045005 22854006 38090010 57135015 114270030