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61481640 = 23351147991
BaseRepresentation
bin1110101010001…
…0001010101000
311021200120221210
43222202022220
5111214403030
610033433120
71344404523
oct352421250
9137616853
1061481640
1131783080
121870b7a0
13c97848c
148245bba
1555e6bb0
hex3aa22a8

61481640 has 128 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 14572800.

The previous prime is 61481621. The next prime is 61481659. The reversal of 61481640 is 4618416.

It is an interprime number because it is at equal distance from previous prime (61481621) and next prime (61481659).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 61481598 and 61481607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 61545 + ... + 62535.

It is an arithmetic number, because the mean of its divisors is an integer number (1607040).

Almost surely, 261481640 is an apocalyptic number.

61481640 is a gapful number since it is divisible by the number (60) 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 61481640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102850560).

61481640 is an abundant number, since it is smaller than the sum of its proper divisors (144219480).

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

61481640 is a wasteful number, since it uses less digits than its factorization.

61481640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61481640 is about 7841.0228924548. The cubic root of 61481640 is about 394.6830550526.

The spelling of 61481640 in words is "sixty-one million, four hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 991 1034 1128 1320 1410 1551 1880 1982 2068 2585 2820 2973 3102 3964 4136 4955 5170 5640 5946 6204 7755 7928 9910 10340 10901 11892 12408 14865 15510 19820 20680 21802 23784 29730 31020 32703 39640 43604 46577 54505 59460 62040 65406 87208 93154 109010 118920 130812 139731 163515 186308 218020 232885 261624 279462 327030 372616 436040 465770 512347 558924 654060 698655 931540 1024694 1117848 1308120 1397310 1537041 1863080 2049388 2561735 2794620 3074082 4098776 5123470 5589240 6148164 7685205 10246940 12296328 15370410 20493880 30740820 61481640