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532139040 = 253252316067
BaseRepresentation
bin11111101101111…
…100110000100000
31101002022110112100
4133231330300200
52042211422130
6124445330400
716121051526
oct3755746040
91332273470
10532139040
11253418a34
1212a266a00
1386328894
1450960316
1531ab5c60
hex1fb7cc20

532139040 has 144 divisors (see below), whose sum is σ = 1894995648. Its totient is φ = 135725568.

The previous prime is 532139033. The next prime is 532139053. The reversal of 532139040 is 40931235.

532139040 is a `hidden beast` number, since 532 + 1 + 3 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 532138995 and 532139013.

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, 25087 + ... + 41153.

It is an arithmetic number, because the mean of its divisors is an integer number (13159692).

Almost surely, 2532139040 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 532139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947497824).

532139040 is an abundant number, since it is smaller than the sum of its proper divisors (1362856608).

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

532139040 is a wasteful number, since it uses less digits than its factorization.

532139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16111 (or 16100 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 532139040 is about 23068.1390666868. The cubic root of 532139040 is about 810.3544859021.

The spelling of 532139040 in words is "five hundred thirty-two million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1656 1840 2070 2208 2760 3312 3680 4140 5520 6624 8280 11040 16067 16560 32134 33120 48201 64268 80335 96402 128536 144603 160670 192804 241005 257072 289206 321340 369541 385608 482010 514144 578412 642680 723015 739082 771216 964020 1108623 1156824 1285360 1446030 1478164 1542432 1847705 1928040 2217246 2313648 2570720 2892060 2956328 3325869 3695410 3856080 4434492 4627296 5543115 5784120 5912656 6651738 7390820 7712160 8868984 11086230 11568240 11825312 13303476 14781640 16629345 17737968 22172460 23136480 26606952 29563280 33258690 35475936 44344920 53213904 59126560 66517380 88689840 106427808 133034760 177379680 266069520 532139040