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97379640 = 233252231213
BaseRepresentation
bin1011100110111…
…10010100111000
320210020101202100
411303132110320
5144412122030
613355103400
72261466441
oct563362470
9223211670
1097379640
114aa71846
1228741b60
1317236bb7
14cd0c2c8
158838360
hex5cde538

97379640 has 96 divisors (see below), whose sum is σ = 318165120. Its totient is φ = 25830144.

The previous prime is 97379531. The next prime is 97379657. The reversal of 97379640 is 4697379.

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 23 ways as a sum of consecutive naturals, for example, 79674 + ... + 80886.

It is an arithmetic number, because the mean of its divisors is an integer number (3314220).

Almost surely, 297379640 is an apocalyptic number.

97379640 is a gapful number since it is divisible by the number (90) 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 97379640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159082560).

97379640 is an abundant number, since it is smaller than the sum of its proper divisors (220785480).

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

97379640 is a wasteful number, since it uses less digits than its factorization.

97379640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 97379640 is about 9868.1122814852. The cubic root of 97379640 is about 460.0687357904.

The spelling of 97379640 in words is "ninety-seven million, three hundred seventy-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 223 360 446 669 892 1115 1213 1338 1784 2007 2230 2426 2676 3345 3639 4014 4460 4852 5352 6065 6690 7278 8028 8920 9704 10035 10917 12130 13380 14556 16056 18195 20070 21834 24260 26760 29112 36390 40140 43668 48520 54585 72780 80280 87336 109170 145560 218340 270499 436680 540998 811497 1081996 1352495 1622994 2163992 2434491 2704990 3245988 4057485 4868982 5409980 6491976 8114970 9737964 10819960 12172455 16229940 19475928 24344910 32459880 48689820 97379640