Search a number
-
+
40503060 = 223251319911
BaseRepresentation
bin1001101010000…
…0011100010100
32211012202202100
42122200130110
540332044220
64004042100
71001161503
oct232403424
984182670
1040503060
1120954604
1211693330
138511810
14554483a
153850d90
hex26a0714

40503060 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 9434880.

The previous prime is 40503037. The next prime is 40503083. The reversal of 40503060 is 6030504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40503037) and next prime (40503083).

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 47 ways as a sum of consecutive naturals, for example, 44005 + ... + 44915.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 240503060 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 40503060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

40503060 is an abundant number, since it is smaller than the sum of its proper divisors (98923500).

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

40503060 is a wasteful number, since it uses less digits than its factorization.

40503060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 40503060 is about 6364.2014424435. The cubic root of 40503060 is about 343.4229215002.

Adding to 40503060 its reverse (6030504), we get a palindrome (46533564).

The spelling of 40503060 in words is "forty million, five hundred three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 911 988 1140 1170 1235 1482 1710 1822 2223 2340 2470 2733 2964 3420 3644 3705 4446 4555 4940 5466 7410 8199 8892 9110 10932 11115 11843 13665 14820 16398 17309 18220 22230 23686 27330 32796 34618 35529 40995 44460 47372 51927 54660 59215 69236 71058 81990 86545 103854 106587 118430 142116 155781 163980 173090 177645 207708 213174 225017 236860 259635 311562 346180 355290 426348 450034 519270 532935 623124 675051 710580 778905 900068 1038540 1065870 1125085 1350102 1557810 2025153 2131740 2250170 2700204 3115620 3375255 4050306 4500340 6750510 8100612 10125765 13501020 20251530 40503060