Search a number
-
+
120434040 = 2334537171
BaseRepresentation
bin1110010110110…
…10110101111000
322101121200110000
413023122311320
5221312342130
615541153000
72661446436
oct713326570
9271550400
10120434040
1161a88971
12343bb760
131bc4965c
1411dcdd56
15a88e260
hex72dad78

120434040 has 80 divisors (see below), whose sum is σ = 404803080. Its totient is φ = 32114880.

The previous prime is 120434033. The next prime is 120434051. The reversal of 120434040 is 40434021.

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

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, 15346 + ... + 21825.

Almost surely, 2120434040 is an apocalyptic number.

120434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120434040 is an abundant number, since it is smaller than the sum of its proper divisors (284369040).

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

120434040 is a wasteful number, since it uses less digits than its factorization.

120434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37194 (or 37181 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 120434040 is about 10974.2443931234. The cubic root of 120434040 is about 493.8363852486.

Adding to 120434040 its reverse (40434021), we get a palindrome (160868061).

The spelling of 120434040 in words is "one hundred twenty million, four hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 37171 74342 111513 148684 185855 223026 297368 334539 371710 446052 557565 669078 743420 892104 1003617 1115130 1338156 1486840 1672695 2007234 2230260 2676312 3010851 3345390 4014468 4460520 5018085 6021702 6690780 8028936 10036170 12043404 13381560 15054255 20072340 24086808 30108510 40144680 60217020 120434040