Search a number
-
+
154650006 = 23371961353
BaseRepresentation
bin10010011011111…
…00010110010110
3101210000000221000
421031330112112
5304042300011
623202404130
73555334440
oct1115742626
9353000830
10154650006
117a328925
1243960646
13260695a4
1416779490
15d89c356
hex937c596

154650006 has 128 divisors (see below), whose sum is σ = 421401600. Its totient is φ = 41057280.

The previous prime is 154649977. The next prime is 154650017. The reversal of 154650006 is 600056451.

It is a happy number.

154650006 is a `hidden beast` number, since 1 + 5 + 4 + 650 + 0 + 0 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437926 + ... + 438278.

It is an arithmetic number, because the mean of its divisors is an integer number (3292200).

Almost surely, 2154650006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154650006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210700800).

154650006 is an abundant number, since it is smaller than the sum of its proper divisors (266751594).

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

154650006 is a wasteful number, since it uses less digits than its factorization.

154650006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 154650006 is about 12435.8355569700. The cubic root of 154650006 is about 536.7639173236.

The spelling of 154650006 in words is "one hundred fifty-four million, six hundred fifty thousand, six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 61 63 114 122 126 133 171 183 189 266 342 353 366 378 399 427 513 549 706 798 854 1026 1059 1098 1159 1197 1281 1647 2118 2318 2394 2471 2562 3177 3294 3477 3591 3843 4942 6354 6707 6954 7182 7413 7686 8113 9531 10431 11529 13414 14826 16226 19062 20121 20862 21533 22239 23058 24339 31293 40242 43066 44478 46949 48678 60363 62586 64599 66717 73017 93898 120726 129198 133434 140847 146034 150731 181089 193797 219051 281694 301462 362178 387594 409127 422541 438102 452193 581391 818254 845082 904386 1162782 1227381 1267623 1356579 2454762 2535246 2713158 2863889 3682143 4069737 5727778 7364286 8139474 8591667 11046429 17183334 22092858 25775001 51550002 77325003 154650006