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148605072 = 243711311297
BaseRepresentation
bin10001101101110…
…00100010010000
3101100121220211120
420312320202100
5301020330242
622425042240
73453056640
oct1066704220
9340556746
10148605072
117697a210
1241926380
1324a30cc5
1415a44520
15d0a61ec
hex8db8890

148605072 has 160 divisors (see below), whose sum is σ = 494444544. Its totient is φ = 37324800.

The previous prime is 148605071. The next prime is 148605073. The reversal of 148605072 is 270506841.

It is an interprime number because it is at equal distance from previous prime (148605071) and next prime (148605073).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (148605071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113928 + ... + 115224.

Almost surely, 2148605072 is an apocalyptic number.

148605072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148605072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247222272).

148605072 is an abundant number, since it is smaller than the sum of its proper divisors (345839472).

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

148605072 is a wasteful number, since it uses less digits than its factorization.

148605072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 148605072 is about 12190.3680010080. The cubic root of 148605072 is about 529.6771167324.

The spelling of 148605072 in words is "one hundred forty-eight million, six hundred five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 33 42 44 48 56 62 66 77 84 88 93 112 124 132 154 168 176 186 217 231 248 264 308 336 341 372 434 462 496 528 616 651 682 744 868 924 1023 1232 1297 1302 1364 1488 1736 1848 2046 2387 2594 2604 2728 3472 3696 3891 4092 4774 5188 5208 5456 7161 7782 8184 9079 9548 10376 10416 14267 14322 15564 16368 18158 19096 20752 27237 28534 28644 31128 36316 38192 40207 42801 54474 57068 57288 62256 72632 80414 85602 99869 108948 114136 114576 120621 145264 160828 171204 199738 217896 228272 241242 281449 299607 321656 342408 399476 435792 442277 482484 562898 599214 643312 684816 798952 844347 884554 964968 1125796 1198428 1326831 1597904 1688694 1769108 1929936 2251592 2396856 2653662 3095939 3377388 3538216 4503184 4793712 5307324 6191878 6754776 7076432 9287817 10614648 12383756 13509552 18575634 21229296 24767512 37151268 49535024 74302536 148605072