Search a number
-
+
60468030 = 23257412341
BaseRepresentation
bin1110011010101…
…0101100111110
311012210002112200
43212222230332
5110434434110
610000012330
71332653430
oct346525476
9135702480
1060468030
1131150587
12183010a6
13c6b1ccc
148060650
1554966c0
hex39aab3e

60468030 has 96 divisors (see below), whose sum is σ = 184137408. Its totient is φ = 13478400.

The previous prime is 60467999. The next prime is 60468049. The reversal of 60468030 is 3086406.

It is a junction number, because it is equal to n+sod(n) for n = 60467985 and 60468003.

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, 24660 + ... + 27000.

It is an arithmetic number, because the mean of its divisors is an integer number (1918098).

Almost surely, 260468030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60468030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92068704).

60468030 is an abundant number, since it is smaller than the sum of its proper divisors (123669378).

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

60468030 is a wasteful number, since it uses less digits than its factorization.

60468030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 60468030 is about 7776.1192120492. The cubic root of 60468030 is about 392.5020595724.

The spelling of 60468030 in words is "sixty million, four hundred sixty-eight thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 90 105 123 126 205 210 246 287 315 369 410 574 615 630 738 861 1230 1435 1722 1845 2341 2583 2870 3690 4305 4682 5166 7023 8610 11705 12915 14046 16387 21069 23410 25830 32774 35115 42138 49161 70230 81935 95981 98322 105345 147483 163870 191962 210690 245805 287943 294966 479905 491610 575886 671867 737415 863829 959810 1343734 1439715 1474830 1727658 2015601 2879430 3359335 4031202 4319145 6046803 6718670 8638290 10078005 12093606 20156010 30234015 60468030