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149422104 = 233313127419
BaseRepresentation
bin10001110100000…
…00000000011000
3101102011102121000
420322000000120
5301223001404
622454345000
73463031646
oct1072000030
9342142530
10149422104
1177388047
124205b160
1324c58b60
1415bb8196
15d1b8339
hex8e80018

149422104 has 128 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 45505152.

The previous prime is 149422087. The next prime is 149422111. The reversal of 149422104 is 401224941.

It is a happy number.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356407 + ... + 356825.

It is an arithmetic number, because the mean of its divisors is an integer number (3528000).

Almost surely, 2149422104 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 149422104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

149422104 is an abundant number, since it is smaller than the sum of its proper divisors (302161896).

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

149422104 is a wasteful number, since it uses less digits than its factorization.

149422104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 149422104 is about 12223.8334412736. The cubic root of 149422104 is about 530.6460662890.

The spelling of 149422104 in words is "one hundred forty-nine million, four hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 127 156 216 234 254 312 351 381 419 468 508 702 762 838 936 1016 1143 1257 1404 1524 1651 1676 2286 2514 2808 3048 3302 3352 3429 3771 4572 4953 5028 5447 6604 6858 7542 9144 9906 10056 10894 11313 13208 13716 14859 15084 16341 19812 21788 22626 27432 29718 30168 32682 39624 43576 44577 45252 49023 53213 59436 65364 89154 90504 98046 106426 118872 130728 147069 159639 178308 196092 212852 294138 319278 356616 392184 425704 478917 588276 638556 691769 957834 1176552 1277112 1383538 1436751 1915668 2075307 2767076 2873502 3831336 4150614 5534152 5747004 6225921 8301228 11494008 12451842 16602456 18677763 24903684 37355526 49807368 74711052 149422104