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101489040 = 24325314547
BaseRepresentation
bin1100000110010…
…01100110010000
321001222011210100
412003021212100
5201440122130
614023132400
72341433262
oct603114620
9231864710
10101489040
1152319244
1229ba4100
13180454b3
14d69bb32
158d9ac60
hex60c9990

101489040 has 120 divisors (see below), whose sum is σ = 351906048. Its totient is φ = 26184960.

The previous prime is 101488993. The next prime is 101489077. The reversal of 101489040 is 40984101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101488995 and 101489013.

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, 20047 + ... + 24593.

Almost surely, 2101489040 is an apocalyptic number.

101489040 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 101489040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175953024).

101489040 is an abundant number, since it is smaller than the sum of its proper divisors (250417008).

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

101489040 is a wasteful number, since it uses less digits than its factorization.

101489040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101489040 is about 10074.1768894535. The cubic root of 101489040 is about 466.4513791547.

The spelling of 101489040 in words is "one hundred one million, four hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 4547 5580 7440 9094 11160 13641 18188 22320 22735 27282 36376 40923 45470 54564 68205 72752 81846 90940 109128 136410 140957 163692 181880 204615 218256 272820 281914 327384 363760 409230 422871 545640 563828 654768 704785 818460 845742 1091280 1127656 1268613 1409570 1636920 1691484 2114355 2255312 2537226 2819140 3273840 3382968 4228710 5074452 5638280 6343065 6765936 8457420 10148904 11276560 12686130 16914840 20297808 25372260 33829680 50744520 101489040