Search a number
-
+
274006152 = 23347292083
BaseRepresentation
bin10000010101010…
…000000010001000
3201002120221210000
4100111100002020
51030121144102
643104523000
76535004520
oct2025200210
9632527700
10274006152
1113073a972
1277920460
13449c9424
1428568680
15190c701c
hex10550088

274006152 has 160 divisors (see below), whose sum is σ = 907790400. Its totient is φ = 75551616.

The previous prime is 274006151. The next prime is 274006177. The reversal of 274006152 is 251600472.

274006152 is a `hidden beast` number, since 2 + 7 + 40 + 0 + 615 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (274006151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130503 + ... + 132585.

It is an arithmetic number, because the mean of its divisors is an integer number (5673690).

Almost surely, 2274006152 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 274006152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453895200).

274006152 is an abundant number, since it is smaller than the sum of its proper divisors (633784248).

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

274006152 is a wasteful number, since it uses less digits than its factorization.

274006152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 274006152 is about 16553.1311841597. The cubic root of 274006152 is about 649.5113898018.

The spelling of 274006152 in words is "two hundred seventy-four million, six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 63 72 81 84 87 108 116 126 162 168 174 189 203 216 232 252 261 324 348 378 406 504 522 567 609 648 696 756 783 812 1044 1134 1218 1512 1566 1624 1827 2083 2088 2268 2349 2436 3132 3654 4166 4536 4698 4872 5481 6249 6264 7308 8332 9396 10962 12498 14581 14616 16443 16664 18747 18792 21924 24996 29162 32886 37494 43743 43848 49992 56241 58324 60407 65772 74988 87486 112482 116648 120814 131229 131544 149976 168723 174972 181221 224964 241628 262458 337446 349944 362442 393687 422849 449928 483256 524916 543663 674892 724884 787374 845698 1049832 1087326 1181061 1268547 1349784 1449768 1574748 1630989 1691396 2174652 2362122 2537094 3149496 3261978 3382792 3805641 4349304 4724244 4892967 5074188 6523956 7611282 9448488 9785934 10148376 11416923 13047912 15222564 19571868 22833846 30445128 34250769 39143736 45667692 68501538 91335384 137003076 274006152