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70601440 = 2557132373
BaseRepresentation
bin1000011010101…
…00101011100000
311220211220222011
410031110223200
5121033221230
611001122304
71515050050
oct415245340
9156756864
1070601440
11369419a8
121b789394
131181c500
14953b560
1562e8e2a
hex4354ae0

70601440 has 144 divisors (see below), whose sum is σ = 206968608. Its totient is φ = 22284288.

The previous prime is 70601437. The next prime is 70601441. The reversal of 70601440 is 4410607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70601441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189094 + ... + 189466.

It is an arithmetic number, because the mean of its divisors is an integer number (1437282).

Almost surely, 270601440 is an apocalyptic number.

70601440 is a gapful number since it is divisible by the number (70) 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 70601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103484304).

70601440 is an abundant number, since it is smaller than the sum of its proper divisors (136367168).

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

70601440 is a wasteful number, since it uses less digits than its factorization.

70601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 70601440 is about 8402.4663046037. The cubic root of 70601440 is about 413.3055016524.

The spelling of 70601440 in words is "seventy million, six hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 169 182 208 224 260 280 338 364 373 416 455 520 560 676 728 746 845 910 1040 1120 1183 1352 1456 1492 1690 1820 1865 2080 2366 2611 2704 2912 2984 3380 3640 3730 4732 4849 5222 5408 5915 5968 6760 7280 7460 9464 9698 10444 11830 11936 13055 13520 14560 14920 18928 19396 20888 23660 24245 26110 27040 29840 33943 37856 38792 41776 47320 48490 52220 59680 63037 67886 77584 83552 94640 96980 104440 126074 135772 155168 169715 189280 193960 208880 252148 271544 315185 339430 387920 417760 441259 504296 543088 630370 678860 775840 882518 1008592 1086176 1260740 1357720 1765036 2017184 2206295 2521480 2715440 3530072 4412590 5042960 5430880 7060144 8825180 10085920 14120288 17650360 35300720 70601440