Search a number
-
+
153045240 = 23354672731
BaseRepresentation
bin10010001111101…
…00100011111000
3101122222111121020
421013310203320
5303134421430
623104142440
73535602015
oct1107644370
9348874536
10153045240
1179432177
1243307a20
132592701a
141647c70c
15d681b10
hex91f48f8

153045240 has 64 divisors (see below), whose sum is σ = 460287360. Its totient is φ = 40709760.

The previous prime is 153045229. The next prime is 153045241. The reversal of 153045240 is 42540351.

153045240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 153045240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153045241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54675 + ... + 57405.

It is an arithmetic number, because the mean of its divisors is an integer number (7191990).

Almost surely, 2153045240 is an apocalyptic number.

153045240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153045240 is an abundant number, since it is smaller than the sum of its proper divisors (307242120).

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

153045240 is a wasteful number, since it uses less digits than its factorization.

153045240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 153045240 is about 12371.1454603040. The cubic root of 153045240 is about 534.9008346788.

Adding to 153045240 its reverse (42540351), we get a palindrome (195585591).

The spelling of 153045240 in words is "one hundred fifty-three million, forty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 467 934 1401 1868 2335 2731 2802 3736 4670 5462 5604 7005 8193 9340 10924 11208 13655 14010 16386 18680 21848 27310 28020 32772 40965 54620 56040 65544 81930 109240 163860 327720 1275377 2550754 3826131 5101508 6376885 7652262 10203016 12753770 15304524 19130655 25507540 30609048 38261310 51015080 76522620 153045240