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60149440 = 2651319761
BaseRepresentation
bin1110010101110…
…0111011000000
311012011220112001
43211130323000
5110344240230
65545113344
71330155541
oct345347300
9135156461
1060149440
1130a5318a
1218188854
13c5cccb0
147dba4c8
1554320ca
hex395cec0

60149440 has 112 divisors (see below), whose sum is σ = 162580320. Its totient is φ = 21012480.

The previous prime is 60149431. The next prime is 60149443. The reversal of 60149440 is 4494106.

60149440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 60149399 and 60149408.

It is not an unprimeable number, because it can be changed into a prime (60149443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78660 + ... + 79420.

It is an arithmetic number, because the mean of its divisors is an integer number (1451610).

Almost surely, 260149440 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 60149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81290160).

60149440 is an abundant number, since it is smaller than the sum of its proper divisors (102430880).

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

60149440 is a wasteful number, since it uses less digits than its factorization.

60149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 60149440 is about 7755.6070039682. The cubic root of 60149440 is about 391.8115156613.

The spelling of 60149440 in words is "sixty million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 130 152 160 190 208 247 260 304 320 380 416 494 520 608 760 761 832 988 1040 1216 1235 1520 1522 1976 2080 2470 3040 3044 3805 3952 4160 4940 6080 6088 7610 7904 9880 9893 12176 14459 15220 15808 19760 19786 24352 28918 30440 39520 39572 48704 49465 57836 60880 72295 79040 79144 98930 115672 121760 144590 158288 187967 197860 231344 243520 289180 316576 375934 395720 462688 578360 633152 751868 791440 925376 939835 1156720 1503736 1582880 1879670 2313440 3007472 3165760 3759340 4626880 6014944 7518680 12029888 15037360 30074720 60149440