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70033920 = 293511829
BaseRepresentation
bin1000010110010…
…10001000000000
311212210002110220
410023022020000
5120412041140
610541023040
71510164345
oct413121000
9155702426
1070033920
1136594580
121b554a80
13116810b8
1494307cc
156235bd0
hex42ca200

70033920 has 160 divisors (see below), whose sum is σ = 244537920. Its totient is φ = 16957440.

The previous prime is 70033891. The next prime is 70033921. The reversal of 70033920 is 2933007.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (70033921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84066 + ... + 84894.

It is an arithmetic number, because the mean of its divisors is an integer number (1528362).

Almost surely, 270033920 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 70033920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122268960).

70033920 is an abundant number, since it is smaller than the sum of its proper divisors (174504000).

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

70033920 is a wasteful number, since it uses less digits than its factorization.

70033920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 70033920 is about 8368.6271275520. The cubic root of 70033920 is about 412.1950878015.

Adding to 70033920 its reverse (2933007), we get a palindrome (72966927).

The spelling of 70033920 in words is "seventy million, thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 829 880 960 1056 1280 1320 1408 1536 1658 1760 1920 2112 2487 2560 2640 2816 3316 3520 3840 4145 4224 4974 5280 5632 6632 7040 7680 8290 8448 9119 9948 10560 12435 13264 14080 16580 16896 18238 19896 21120 24870 26528 27357 28160 33160 36476 39792 42240 45595 49740 53056 54714 66320 72952 79584 84480 91190 99480 106112 109428 132640 136785 145904 159168 182380 198960 212224 218856 265280 273570 291808 318336 364760 397920 424448 437712 530560 547140 583616 636672 729520 795840 875424 1061120 1094280 1167232 1273344 1459040 1591680 1750848 2122240 2188560 2334464 2918080 3183360 3501696 4377120 4668928 5836160 6366720 7003392 8754240 11672320 14006784 17508480 23344640 35016960 70033920