Search a number
-
+
60405436 = 227213151157
BaseRepresentation
bin1110011001101…
…1011010111100
311012122220200101
43212123122330
5110430433221
65554410444
71332303100
oct346333274
9135586611
1060405436
1131108553
1218290a24
13c68c680
148045900
155482d91
hex399b6bc

60405436 has 72 divisors (see below), whose sum is σ = 134153376. Its totient is φ = 23587200.

The previous prime is 60405431. The next prime is 60405461. The reversal of 60405436 is 63450406.

It is a Harshad number since it is a multiple of its sum of digits (28).

60405436 is a modest number, since divided by 5436 gives 604 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60405431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384670 + ... + 384826.

Almost surely, 260405436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60405436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67076688).

60405436 is an abundant number, since it is smaller than the sum of its proper divisors (73747940).

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

60405436 is a wasteful number, since it uses less digits than its factorization.

60405436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 60405436 is about 7772.0934116877. The cubic root of 60405436 is about 392.3665788556.

It can be divided in two parts, 6040 and 5436, that added together give a triangular number (11476 = T151).

The spelling of 60405436 in words is "sixty million, four hundred five thousand, four hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 151 157 182 196 302 314 364 604 628 637 1057 1099 1274 1963 2041 2114 2198 2548 3926 4082 4228 4396 7399 7693 7852 8164 13741 14287 14798 15386 23707 27482 28574 29596 30772 47414 54964 57148 94828 96187 100009 165949 192374 200018 308191 331898 384748 400036 616382 663796 1161643 1232764 2157337 2323286 4314674 4646572 8629348 15101359 30202718 60405436