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150061464 = 23337611627
BaseRepresentation
bin10001111000111…
…00000110011000
3101110100220122000
420330130012120
5301403431324
622520201000
73501333660
oct1074340630
9343326560
10150061464
1177784443
1242309160
1325120b87
1415d031a0
15d2929c9
hex8f1c198

150061464 has 128 divisors (see below), whose sum is σ = 484492800. Its totient is φ = 42145920.

The previous prime is 150061463. The next prime is 150061477. The reversal of 150061464 is 464160051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150061463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91419 + ... + 93045.

It is an arithmetic number, because the mean of its divisors is an integer number (3785100).

Almost surely, 2150061464 is an apocalyptic number.

150061464 is a gapful number since it is divisible by the number (14) 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 150061464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242246400).

150061464 is an abundant number, since it is smaller than the sum of its proper divisors (334431336).

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

150061464 is a wasteful number, since it uses less digits than its factorization.

150061464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1710 (or 1700 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 150061464 is about 12249.9577142127. The cubic root of 150061464 is about 531.4018471770.

The spelling of 150061464 in words is "one hundred fifty million, sixty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 61 63 72 84 108 122 126 168 183 189 216 244 252 366 378 427 488 504 549 732 756 854 1098 1281 1464 1512 1627 1647 1708 2196 2562 3254 3294 3416 3843 4392 4881 5124 6508 6588 7686 9762 10248 11389 11529 13016 13176 14643 15372 19524 22778 23058 29286 30744 34167 39048 43929 45556 46116 58572 68334 87858 91112 92232 99247 102501 117144 136668 175716 198494 205002 273336 297741 307503 351432 396988 410004 595482 615006 694729 793976 820008 893223 1190964 1230012 1389458 1786446 2084187 2381928 2460024 2679669 2778916 3572892 4168374 5359338 5557832 6252561 7145784 8336748 10718676 12505122 16673496 18757683 21437352 25010244 37515366 50020488 75030732 150061464