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148069376 = 2107213227
BaseRepresentation
bin10001101001101…
…01110000000000
3101022121200222222
420310311300000
5300401210001
622405350212
73445366100
oct1064656000
9338550888
10148069376
1176643794
1241708368
13248a4220
1415945200
15ceec61b
hex8d35c00

148069376 has 132 divisors (see below), whose sum is σ = 372439368. Its totient is φ = 58318848.

The previous prime is 148069373. The next prime is 148069379. The reversal of 148069376 is 673960841.

It is an interprime number because it is at equal distance from previous prime (148069373) and next prime (148069379).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148069373) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 652175 + ... + 652401.

Almost surely, 2148069376 is an apocalyptic number.

148069376 is a gapful number since it is divisible by the number (16) 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 148069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186219684).

148069376 is an abundant number, since it is smaller than the sum of its proper divisors (224369992).

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

148069376 is a wasteful number, since it uses less digits than its factorization.

148069376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 148069376 is about 12168.3760625648. The cubic root of 148069376 is about 529.0398851196.

The spelling of 148069376 in words is "one hundred forty-eight million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 227 256 364 392 416 448 454 512 637 728 784 832 896 908 1024 1274 1456 1568 1589 1664 1792 1816 2548 2912 2951 3136 3178 3328 3584 3632 5096 5824 5902 6272 6356 6656 7168 7264 10192 11123 11648 11804 12544 12712 13312 14528 20384 20657 22246 23296 23608 25088 25424 29056 40768 41314 44492 46592 47216 50176 50848 58112 81536 82628 88984 93184 94432 101696 116224 144599 163072 165256 177968 188864 203392 232448 289198 326144 330512 355936 377728 406784 578396 652288 661024 711872 755456 813568 1156792 1322048 1423744 1510912 1627136 2313584 2644096 2847488 3021824 4627168 5288192 5694976 9254336 10576384 11389952 18508672 21152768 37017344 74034688 148069376