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532131040 = 25573712841
BaseRepresentation
bin11111101101111…
…010110011100000
31101002022001120001
4133231322303200
52042211143130
6124445225344
716121016310
oct3755726340
91332261501
10532131040
11253412a21
1212a262254
138632504c
145095b440
1531ab36ca
hex1fb7ace0

532131040 has 96 divisors (see below), whose sum is σ = 1475699904. Its totient is φ = 177500160.

The previous prime is 532131037. The next prime is 532131053. The reversal of 532131040 is 40131235.

It is a junction number, because it is equal to n+sod(n) for n = 532130999 and 532131017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35020 + ... + 47860.

It is an arithmetic number, because the mean of its divisors is an integer number (15371874).

Almost surely, 2532131040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737849952).

532131040 is an abundant number, since it is smaller than the sum of its proper divisors (943568864).

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

532131040 is a wasteful number, since it uses less digits than its factorization.

532131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12900 (or 12892 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 532131040 is about 23067.9656666989. The cubic root of 532131040 is about 810.3504250158.

Adding to 532131040 its reverse (40131235), we get a palindrome (572262275).

The spelling of 532131040 in words is "five hundred thirty-two million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 70 74 80 112 140 148 160 185 224 259 280 296 370 518 560 592 740 1036 1120 1184 1295 1480 2072 2590 2960 4144 5180 5920 8288 10360 12841 20720 25682 41440 51364 64205 89887 102728 128410 179774 205456 256820 359548 410912 449435 475117 513640 719096 898870 950234 1027280 1438192 1797740 1900468 2054560 2375585 2876384 3325819 3595480 3800936 4751170 6651638 7190960 7601872 9502340 13303276 14381920 15203744 16629095 19004680 26606552 33258190 38009360 53213104 66516380 76018720 106426208 133032760 266065520 532131040