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2532938940 = 2232572387403
BaseRepresentation
bin1001011011111001…
…1001010010111100
320112112011122000100
42112332121102330
520141413021230
61055201401100
7116524424430
oct22676312274
96475148010
102532938940
11108a861574
125a8339190
133149c304c
141a05869c0
15ec585660
hex96f994bc

2532938940 has 144 divisors (see below), whose sum is σ = 9162736128. Its totient is φ = 553779072.

The previous prime is 2532938923. The next prime is 2532938977. The reversal of 2532938940 is 498392352.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14722 + ... + 72681.

It is an arithmetic number, because the mean of its divisors is an integer number (63630112).

Almost surely, 22532938940 is an apocalyptic number.

2532938940 is a gapful number since it is divisible by the number (20) 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 2532938940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4581368064).

2532938940 is an abundant number, since it is smaller than the sum of its proper divisors (6629797188).

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

2532938940 is a wasteful number, since it uses less digits than its factorization.

2532938940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87448 (or 87443 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2532938940 is about 50328.3115154880. The cubic root of 2532938940 is about 1363.1434891005.

The spelling of 2532938940 in words is "two billion, five hundred thirty-two million, nine hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 87403 174806 262209 349612 437015 524418 611821 786627 874030 1048836 1223642 1311045 1573254 1748060 1835463 2010269 2447284 2622090 3059105 3146508 3670926 3933135 4020538 5244180 5506389 6030807 6118210 7341852 7866270 8041076 9177315 10051345 11012778 12061614 12236420 14071883 15732540 18092421 18354630 20102690 22025556 24123228 27531945 28143766 30154035 36184842 36709260 40205380 42215649 55063890 56287532 60308070 70359415 72369684 84431298 90462105 110127780 120616140 126646947 140718830 168862596 180924210 211078245 253293894 281437660 361848420 422156490 506587788 633234735 844312980 1266469470 2532938940