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150103440 = 243251631279
BaseRepresentation
bin10001111001001…
…10010110010000
3101110110001012200
420330212112100
5301411302230
622521123200
73501600234
oct1074462620
9343401180
10150103440
1177802a33
1242329500
1325137006
1415d145c4
15d2a0160
hex8f26590

150103440 has 120 divisors (see below), whose sum is σ = 507586560. Its totient is φ = 39750912.

The previous prime is 150103427. The next prime is 150103469. The reversal of 150103440 is 44301051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116721 + ... + 117999.

It is an arithmetic number, because the mean of its divisors is an integer number (4229888).

Almost surely, 2150103440 is an apocalyptic number.

150103440 is a gapful number since it is divisible by the number (10) 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 150103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253793280).

150103440 is an abundant number, since it is smaller than the sum of its proper divisors (357483120).

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

150103440 is a wasteful number, since it uses less digits than its factorization.

150103440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 150103440 is about 12251.6709064519. The cubic root of 150103440 is about 531.4513914189.

Adding to 150103440 its reverse (44301051), we get a palindrome (194404491).

The spelling of 150103440 in words is "one hundred fifty million, one hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 163 180 240 326 360 489 652 720 815 978 1279 1304 1467 1630 1956 2445 2558 2608 2934 3260 3837 3912 4890 5116 5868 6395 6520 7335 7674 7824 9780 10232 11511 11736 12790 13040 14670 15348 19185 19560 20464 23022 23472 25580 29340 30696 38370 39120 46044 51160 57555 58680 61392 76740 92088 102320 115110 117360 153480 184176 208477 230220 306960 416954 460440 625431 833908 920880 1042385 1250862 1667816 1876293 2084770 2501724 3127155 3335632 3752586 4169540 5003448 6254310 7505172 8339080 9381465 10006896 12508620 15010344 16678160 18762930 25017240 30020688 37525860 50034480 75051720 150103440