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114269940 = 2234570537
BaseRepresentation
bin1101100111110…
…01111011110100
321222000111220000
412303321323310
5213223114230
615201111300
72555164341
oct663717364
9258014800
10114269940
1159558774
1232328530
131a89ba65
14112677c8
15a072b60
hex6cf9ef4

114269940 has 60 divisors (see below), whose sum is σ = 358474116. Its totient is φ = 30471552.

The previous prime is 114269923. The next prime is 114269989. The reversal of 114269940 is 49962411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 80676324 + 33593616 = 8982^2 + 5796^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1142699403 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114269895 and 114269904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33649 + ... + 36888.

Almost surely, 2114269940 is an apocalyptic number.

114269940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114269940 is an abundant number, since it is smaller than the sum of its proper divisors (244204176).

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

114269940 is a wasteful number, since it uses less digits than its factorization.

114269940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70558 (or 70547 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 114269940 is about 10689.7118763791. The cubic root of 114269940 is about 485.2631724361.

The spelling of 114269940 in words is "one hundred fourteen million, two hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 70537 141074 211611 282148 352685 423222 634833 705370 846444 1058055 1269666 1410740 1904499 2116110 2539332 3174165 3808998 4232220 5713497 6348330 7617996 9522495 11426994 12696660 19044990 22853988 28567485 38089980 57134970 114269940