Search a number
-
+
60420240 = 24325312707
BaseRepresentation
bin1110011001111…
…1000010010000
311012200122222200
43212133002100
5110431421430
65555003200
71332364206
oct346370220
9135618880
1060420240
1131118691
1218299500
13c69632a
14804b076
155487460
hex399f090

60420240 has 120 divisors (see below), whose sum is σ = 209534208. Its totient is φ = 15586560.

The previous prime is 60420221. The next prime is 60420251. The reversal of 60420240 is 4202406.

60420240 is a `hidden beast` number, since 6 + 0 + 420 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 20967 + ... + 23673.

Almost surely, 260420240 is an apocalyptic number.

60420240 is a gapful number since it is divisible by the number (60) 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 60420240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104767104).

60420240 is an abundant number, since it is smaller than the sum of its proper divisors (149113968).

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

60420240 is a wasteful number, since it uses less digits than its factorization.

60420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2748 counting only the distinct ones).

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

The square root of 60420240 is about 7773.0457351028. The cubic root of 60420240 is about 392.3986296155.

Adding to 60420240 its reverse (4202406), we get a palindrome (64622646).

The spelling of 60420240 in words is "sixty million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2707 2790 3720 4464 5414 5580 7440 8121 10828 11160 13535 16242 21656 22320 24363 27070 32484 40605 43312 48726 54140 64968 81210 83917 97452 108280 121815 129936 162420 167834 194904 216560 243630 251751 324840 335668 389808 419585 487260 503502 649680 671336 755253 839170 974520 1007004 1258755 1342672 1510506 1678340 1949040 2014008 2517510 3021012 3356680 3776265 4028016 5035020 6042024 6713360 7552530 10070040 12084048 15105060 20140080 30210120 60420240